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Finding the Fourth Proportional to 3,902.52, 5,385.49 and 2,134.16

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Solution

The fourth proportional to 3,902.52, 5,385.49 and 2,134.16 is: 2,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.52 : 5,385.49 = 2,134.16 : x
  2. Step 2: Convert to fraction form
    3,902.52/5,385.49 = 2,134.16/x
  3. Step 3: Cross multiply
    3,902.52x = 5,385.49 × 2,134.16
  4. Step 4: Simplify right side
    3,902.52x = 11,493,470.41
  5. Step 5: Solve for x
    x = 11,493,470.41/3,902.52
  6. Step 6: Final answer
    x = 2,945.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.