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Finding the Fourth Proportional to 5,487.12, 8,234.84 and 4,251.52

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Solution

The fourth proportional to 5,487.12, 8,234.84 and 4,251.52 is: 6,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.12 : 8,234.84 = 4,251.52 : x
  2. Step 2: Convert to fraction form
    5,487.12/8,234.84 = 4,251.52/x
  3. Step 3: Cross multiply
    5,487.12x = 8,234.84 × 4,251.52
  4. Step 4: Simplify right side
    5,487.12x = 35,010,586.96
  5. Step 5: Solve for x
    x = 35,010,586.96/5,487.12
  6. Step 6: Final answer
    x = 6,380.50

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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.