A resident of the 400 block of Troy Road contacted Delaware police at 2:49 p.m. April 30 after he received a credit card in the mail for which he didn't apply.
The man told police the hardware-store card already had a $3,500 balance.
Police said a fraud investigation would be opened by the company servicing the store's credit accounts.
A resident of the 2200 block of Red Barn Street also was notified by her bank that someone tried to use her account to make a fraudulent $1,500 purchase in New York.
The transaction was blocked with no financial loss, reports said.
The incident was reported at 2:01 p.m. April 30.
Finally, a resident of the 200 block of Leawood Drive reported his debit card was fraudulently used to make purchases of $147 at a business on North Houk Road.
The incident was reported at 1:24 p.m. May 5.
In other recent Delaware police reports:
* A man was cited for possession of marijuana during a traffic stop at Central Avenue and Potter Street at 2:54 p.m. May 5, reports said.
* A man and woman each were charged with possession of drug-abuse instruments, possession of drug paraphernalia, possession of marijuana and possession of marijuana paraphernalia in the 500 block of Willis Lane at 2:45 p.m. May 5, according to reports.
* Three TVs, together worth $600, were stolen in the first block of Maple Street in a burglary reported to police at 3 p.m. May 4.
* A total of $7 cash was stolen from the 400 block of South Sandusky Street in a theft reported at 1:33 p.m. May 3.
* Four people were charged with possession of drug paraphernalia during a traffic stop at Lake and Chamberlain streets at 1:20 a.m. May 3.
* Prescription medication was stolen from a residence in the 300 block of South Sandusky Street in a theft reported at 11 p.m. May 3.