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Finding the Fourth Proportional to 3,902.52, 5,385.38 and 2,134.14

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Solution

The fourth proportional to 3,902.52, 5,385.38 and 2,134.14 is: 2,945.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.52 : 5,385.38 = 2,134.14 : x
  2. Step 2: Convert to fraction form
    3,902.52/5,385.38 = 2,134.14/x
  3. Step 3: Cross multiply
    3,902.52x = 5,385.38 × 2,134.14
  4. Step 4: Simplify right side
    3,902.52x = 11,493,154.87
  5. Step 5: Solve for x
    x = 11,493,154.87/3,902.52
  6. Step 6: Final answer
    x = 2,945.06

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Why These Related Problems?

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