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Finding the Fourth Proportional to 3,708.38, 5,117.90 and 2,136.80

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Solution

The fourth proportional to 3,708.38, 5,117.90 and 2,136.80 is: 2,948.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.38 : 5,117.90 = 2,136.80 : x
  2. Step 2: Convert to fraction form
    3,708.38/5,117.90 = 2,136.80/x
  3. Step 3: Cross multiply
    3,708.38x = 5,117.90 × 2,136.80
  4. Step 4: Simplify right side
    3,708.38x = 10,935,892.45
  5. Step 5: Solve for x
    x = 10,935,892.45/3,708.38
  6. Step 6: Final answer
    x = 2,948.97

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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.