An American soldier has died while conducting a combat patrol in Baghdad, The US military said Friday. A statement said the Multi-National Division-Baghdad soldier died Thursday. It did not provide further details. The incident is under investigation, and the soldier's name is being withheld pending notification of next of kin. The death raises the number of US military personnel killed in Iraq to at least 4,252 since the war began in March 2003, according to an Associated Press count.