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Finding the Fourth Proportional to 5,789.70, 7,988.67 and 3,432.30

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Solution

The fourth proportional to 5,789.70, 7,988.67 and 3,432.30 is: 4,735.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.70 : 7,988.67 = 3,432.30 : x
  2. Step 2: Convert to fraction form
    5,789.70/7,988.67 = 3,432.30/x
  3. Step 3: Cross multiply
    5,789.70x = 7,988.67 × 3,432.30
  4. Step 4: Simplify right side
    5,789.70x = 27,419,512.04
  5. Step 5: Solve for x
    x = 27,419,512.04/5,789.70
  6. Step 6: Final answer
    x = 4,735.91

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