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Finding the Fourth Proportional to 5,269.92, 7,906.50 and 3,792.48

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Solution

The fourth proportional to 5,269.92, 7,906.50 and 3,792.48 is: 5,689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.92 : 7,906.50 = 3,792.48 : x
  2. Step 2: Convert to fraction form
    5,269.92/7,906.50 = 3,792.48/x
  3. Step 3: Cross multiply
    5,269.92x = 7,906.50 × 3,792.48
  4. Step 4: Simplify right side
    5,269.92x = 29,985,243.12
  5. Step 5: Solve for x
    x = 29,985,243.12/5,269.92
  6. Step 6: Final answer
    x = 5,689.89

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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.