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Finding the Fourth Proportional to 5,310.24, 7,966.64 and 3,753.24

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Solution

The fourth proportional to 5,310.24, 7,966.64 and 3,753.24 is: 5,630.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.24 : 7,966.64 = 3,753.24 : x
  2. Step 2: Convert to fraction form
    5,310.24/7,966.64 = 3,753.24/x
  3. Step 3: Cross multiply
    5,310.24x = 7,966.64 × 3,753.24
  4. Step 4: Simplify right side
    5,310.24x = 29,900,711.91
  5. Step 5: Solve for x
    x = 29,900,711.91/5,310.24
  6. Step 6: Final answer
    x = 5,630.76

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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.