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Finding the Fourth Proportional to 5,791.15, 7,991.22 and 3,432.97

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Solution

The fourth proportional to 5,791.15, 7,991.22 and 3,432.97 is: 4,737.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.15 : 7,991.22 = 3,432.97 : x
  2. Step 2: Convert to fraction form
    5,791.15/7,991.22 = 3,432.97/x
  3. Step 3: Cross multiply
    5,791.15x = 7,991.22 × 3,432.97
  4. Step 4: Simplify right side
    5,791.15x = 27,433,618.52
  5. Step 5: Solve for x
    x = 27,433,618.52/5,791.15
  6. Step 6: Final answer
    x = 4,737.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.