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Finding the Fourth Proportional to 3,734.46, 5,601.99 and 1,542.78

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Solution

The fourth proportional to 3,734.46, 5,601.99 and 1,542.78 is: 2,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.46 : 5,601.99 = 1,542.78 : x
  2. Step 2: Convert to fraction form
    3,734.46/5,601.99 = 1,542.78/x
  3. Step 3: Cross multiply
    3,734.46x = 5,601.99 × 1,542.78
  4. Step 4: Simplify right side
    3,734.46x = 8,642,638.13
  5. Step 5: Solve for x
    x = 8,642,638.13/3,734.46
  6. Step 6: Final answer
    x = 2,314.29

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