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Finding the Fourth Proportional to 5,789.52, 7,990.56 and 3,432.96

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Solution

The fourth proportional to 5,789.52, 7,990.56 and 3,432.96 is: 4,738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.52 : 7,990.56 = 3,432.96 : x
  2. Step 2: Convert to fraction form
    5,789.52/7,990.56 = 3,432.96/x
  3. Step 3: Cross multiply
    5,789.52x = 7,990.56 × 3,432.96
  4. Step 4: Simplify right side
    5,789.52x = 27,431,272.86
  5. Step 5: Solve for x
    x = 27,431,272.86/5,789.52
  6. Step 6: Final answer
    x = 4,738.09

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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.