It hasn't reached $5k yet or is on its way to $5k. If the price movement of the coin in the market continues as it is going on, then Ethereum will reach the $5k price but it will be difficult to hit the $10k price by the end of the year. The increase in the price of the coin in the current market in my opinion is due to the effect of Bitcoin as well.
The target is december of this year, I see ETH really serious and not kidding about this increase even though the effects of major coins like Bitcoin obviously have an effect on all Altcoins including ETH as well, but the target price of $5K is something that very likely for ETH.
In my
post above I also said that only $200 left Ethereum will reach the price of $ 5k and I think if the target as you mentioned is December, then it will most likely happen. In fact, I believe that by the end of November the price of $5k will be reached by Ethereum even though behind the current good movement of ETH there is the influence of big coins like Bitcoin.