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Finding the Fourth Proportional to 5,732.62, 7,909.25 and 3,214.38

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Solution

The fourth proportional to 5,732.62, 7,909.25 and 3,214.38 is: 4,434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.62 : 7,909.25 = 3,214.38 : x
  2. Step 2: Convert to fraction form
    5,732.62/7,909.25 = 3,214.38/x
  3. Step 3: Cross multiply
    5,732.62x = 7,909.25 × 3,214.38
  4. Step 4: Simplify right side
    5,732.62x = 25,423,348.60
  5. Step 5: Solve for x
    x = 25,423,348.60/5,732.62
  6. Step 6: Final answer
    x = 4,434.85

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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.