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Finding the Fourth Proportional to 5,800.52, 8,697.87 and 2,839.20

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Solution

The fourth proportional to 5,800.52, 8,697.87 and 2,839.20 is: 4,257.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800.52 : 8,697.87 = 2,839.20 : x
  2. Step 2: Convert to fraction form
    5,800.52/8,697.87 = 2,839.20/x
  3. Step 3: Cross multiply
    5,800.52x = 8,697.87 × 2,839.20
  4. Step 4: Simplify right side
    5,800.52x = 24,694,949.01
  5. Step 5: Solve for x
    x = 24,694,949.01/5,800.52
  6. Step 6: Final answer
    x = 4,257.37

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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.