This is the 7536th most frequent Russian word.
дмитровске
"Дмитровске" is the prepositional case of "Дмитровск," referring to "in Dmitrovsk," a town in Russia.
In this sentence, 'Дмитровске' refers to the name of a small town, used as a locative case to signify 'in Dmitrovsk'.
Я вырос в Дмитровске.
I grew up in Dmitrovsk.
Here, the word 'Дмитровск' is in its nominative case, since it is used with the preposition 'в' to express a destination.
Мы едем в Дмитровск завтра.
We are going to Dmitrovsk tomorrow.
In this example, 'Дмитровск' is used in its genitive case to denote possession, meaning 'of Dmitrovsk'.