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Finding the Fourth Proportional to 5,839.28, 8,761.35 and 3,503.78

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Solution

The fourth proportional to 5,839.28, 8,761.35 and 3,503.78 is: 5,257.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.28 : 8,761.35 = 3,503.78 : x
  2. Step 2: Convert to fraction form
    5,839.28/8,761.35 = 3,503.78/x
  3. Step 3: Cross multiply
    5,839.28x = 8,761.35 × 3,503.78
  4. Step 4: Simplify right side
    5,839.28x = 30,697,842.90
  5. Step 5: Solve for x
    x = 30,697,842.90/5,839.28
  6. Step 6: Final answer
    x = 5,257.13

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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.