Geography
Shivali is an antique collector with a keen interest in vintage maps. She has just noticed that one such piece, a map of early colonial Sydney, is coming up for sale at an auction in that city in two weeks' time. However, Shivali is only willing to purchase the map if it has an expected value of $4,000. There is a 19 percent chance that the map is worth $2,000, a 47 percent chance that the map is worth $3,000, and a third and final possibility that the map is worth an unknown value. What must be this unknown value of the third option for Shivali to be willing to purchase this map to add to her burgeoning collection? Answer to the nearest whole number in dollars (with no decimal points, spaces, $ signs, or commas in your answer).