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Finding the Fourth Proportional to 4,882.47, 6,737.38 and 2,892.71

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Solution

The fourth proportional to 4,882.47, 6,737.38 and 2,892.71 is: 3,991.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.47 : 6,737.38 = 2,892.71 : x
  2. Step 2: Convert to fraction form
    4,882.47/6,737.38 = 2,892.71/x
  3. Step 3: Cross multiply
    4,882.47x = 6,737.38 × 2,892.71
  4. Step 4: Simplify right side
    4,882.47x = 19,489,286.50
  5. Step 5: Solve for x
    x = 19,489,286.50/4,882.47
  6. Step 6: Final answer
    x = 3,991.69

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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.