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Finding the Fourth Proportional to 5,791.38, 7,989.62 and 3,432.26

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Solution

The fourth proportional to 5,791.38, 7,989.62 and 3,432.26 is: 4,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.38 : 7,989.62 = 3,432.26 : x
  2. Step 2: Convert to fraction form
    5,791.38/7,989.62 = 3,432.26/x
  3. Step 3: Cross multiply
    5,791.38x = 7,989.62 × 3,432.26
  4. Step 4: Simplify right side
    5,791.38x = 27,422,396.03
  5. Step 5: Solve for x
    x = 27,422,396.03/5,791.38
  6. Step 6: Final answer
    x = 4,735.04

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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.