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Finding the Fourth Proportional to 4,709.43, 6,500.16 and 2,721.15

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Solution

The fourth proportional to 4,709.43, 6,500.16 and 2,721.15 is: 3,755.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.43 : 6,500.16 = 2,721.15 : x
  2. Step 2: Convert to fraction form
    4,709.43/6,500.16 = 2,721.15/x
  3. Step 3: Cross multiply
    4,709.43x = 6,500.16 × 2,721.15
  4. Step 4: Simplify right side
    4,709.43x = 17,687,910.38
  5. Step 5: Solve for x
    x = 17,687,910.38/4,709.43
  6. Step 6: Final answer
    x = 3,755.85

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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.