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Finding the Fourth Proportional to 6,171.74, 8,517.66 and 3,519.38

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Solution

The fourth proportional to 6,171.74, 8,517.66 and 3,519.38 is: 4,857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.74 : 8,517.66 = 3,519.38 : x
  2. Step 2: Convert to fraction form
    6,171.74/8,517.66 = 3,519.38/x
  3. Step 3: Cross multiply
    6,171.74x = 8,517.66 × 3,519.38
  4. Step 4: Simplify right side
    6,171.74x = 29,976,882.25
  5. Step 5: Solve for x
    x = 29,976,882.25/6,171.74
  6. Step 6: Final answer
    x = 4,857.12

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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.