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Finding the Fourth Proportional to 3,204.31, 4,806.23 and 1,539.63

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Solution

The fourth proportional to 3,204.31, 4,806.23 and 1,539.63 is: 2,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.31 : 4,806.23 = 1,539.63 : x
  2. Step 2: Convert to fraction form
    3,204.31/4,806.23 = 1,539.63/x
  3. Step 3: Cross multiply
    3,204.31x = 4,806.23 × 1,539.63
  4. Step 4: Simplify right side
    3,204.31x = 7,399,784.17
  5. Step 5: Solve for x
    x = 7,399,784.17/3,204.31
  6. Step 6: Final answer
    x = 2,309.32

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