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Finding the Fourth Proportional to 3,711.04, 5,105.28 and 3,209.92

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Solution

The fourth proportional to 3,711.04, 5,105.28 and 3,209.92 is: 4,415.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.04 : 5,105.28 = 3,209.92 : x
  2. Step 2: Convert to fraction form
    3,711.04/5,105.28 = 3,209.92/x
  3. Step 3: Cross multiply
    3,711.04x = 5,105.28 × 3,209.92
  4. Step 4: Simplify right side
    3,711.04x = 16,387,540.38
  5. Step 5: Solve for x
    x = 16,387,540.38/3,711.04
  6. Step 6: Final answer
    x = 4,415.89

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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.