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Finding the Fourth Proportional to 5,142.62, 7,696.16 and 3,167.48

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Solution

The fourth proportional to 5,142.62, 7,696.16 and 3,167.48 is: 4,740.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.62 : 7,696.16 = 3,167.48 : x
  2. Step 2: Convert to fraction form
    5,142.62/7,696.16 = 3,167.48/x
  3. Step 3: Cross multiply
    5,142.62x = 7,696.16 × 3,167.48
  4. Step 4: Simplify right side
    5,142.62x = 24,377,432.88
  5. Step 5: Solve for x
    x = 24,377,432.88/5,142.62
  6. Step 6: Final answer
    x = 4,740.27

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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.