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Finding the Fourth Proportional to 6,053.67, 8,351.10 and 3,691.71

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Solution

The fourth proportional to 6,053.67, 8,351.10 and 3,691.71 is: 5,092.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,053.67 : 8,351.10 = 3,691.71 : x
  2. Step 2: Convert to fraction form
    6,053.67/8,351.10 = 3,691.71/x
  3. Step 3: Cross multiply
    6,053.67x = 8,351.10 × 3,691.71
  4. Step 4: Simplify right side
    6,053.67x = 30,829,839.38
  5. Step 5: Solve for x
    x = 30,829,839.38/6,053.67
  6. Step 6: Final answer
    x = 5,092.75

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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.