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Finding the Fourth Proportional to 3,829.92, 5,739.84 and 3,397.92

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Solution

The fourth proportional to 3,829.92, 5,739.84 and 3,397.92 is: 5,092.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.92 : 5,739.84 = 3,397.92 : x
  2. Step 2: Convert to fraction form
    3,829.92/5,739.84 = 3,397.92/x
  3. Step 3: Cross multiply
    3,829.92x = 5,739.84 × 3,397.92
  4. Step 4: Simplify right side
    3,829.92x = 19,503,517.13
  5. Step 5: Solve for x
    x = 19,503,517.13/3,829.92
  6. Step 6: Final answer
    x = 5,092.41

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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.