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Finding the Fourth Proportional to 4,468.29, 6,691.50 and 3,148.80

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Solution

The fourth proportional to 4,468.29, 6,691.50 and 3,148.80 is: 4,715.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.29 : 6,691.50 = 3,148.80 : x
  2. Step 2: Convert to fraction form
    4,468.29/6,691.50 = 3,148.80/x
  3. Step 3: Cross multiply
    4,468.29x = 6,691.50 × 3,148.80
  4. Step 4: Simplify right side
    4,468.29x = 21,070,179.46
  5. Step 5: Solve for x
    x = 21,070,179.46/4,468.29
  6. Step 6: Final answer
    x = 4,715.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.