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Finding the Fourth Proportional to 5,237.52, 7,857.60 and 1,539.78

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Solution

The fourth proportional to 5,237.52, 7,857.60 and 1,539.78 is: 2,310.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.52 : 7,857.60 = 1,539.78 : x
  2. Step 2: Convert to fraction form
    5,237.52/7,857.60 = 1,539.78/x
  3. Step 3: Cross multiply
    5,237.52x = 7,857.60 × 1,539.78
  4. Step 4: Simplify right side
    5,237.52x = 12,098,975.33
  5. Step 5: Solve for x
    x = 12,098,975.33/5,237.52
  6. Step 6: Final answer
    x = 2,310.06

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