A Dorchester woman who has already had three children taken from her lost a fourth to the state yesterday after her 3-month-old daughter’s neck was allegedly slashed by one of three homeless men she was partying with. Prosecutors said Kyanna Davis, 24, knew Andrew Vaughn, 31, was “known to carry a razor blade secreted in his mouth,” yet allowed him to be alone in a bedroom with her infant daughter early yesterday morning after he’d spent the night getting drunk and urinating on her furniture.