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Finding the Fourth Proportional to 5,117.52, 7,677.84 and 2,654.10

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Solution

The fourth proportional to 5,117.52, 7,677.84 and 2,654.10 is: 3,981.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.52 : 7,677.84 = 2,654.10 : x
  2. Step 2: Convert to fraction form
    5,117.52/7,677.84 = 2,654.10/x
  3. Step 3: Cross multiply
    5,117.52x = 7,677.84 × 2,654.10
  4. Step 4: Simplify right side
    5,117.52x = 20,377,755.14
  5. Step 5: Solve for x
    x = 20,377,755.14/5,117.52
  6. Step 6: Final answer
    x = 3,981.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.