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Finding the Fourth Proportional to 4,002.87, 5,524.02 and 2,234.61

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Solution

The fourth proportional to 4,002.87, 5,524.02 and 2,234.61 is: 3,083.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.87 : 5,524.02 = 2,234.61 : x
  2. Step 2: Convert to fraction form
    4,002.87/5,524.02 = 2,234.61/x
  3. Step 3: Cross multiply
    4,002.87x = 5,524.02 × 2,234.61
  4. Step 4: Simplify right side
    4,002.87x = 12,344,030.33
  5. Step 5: Solve for x
    x = 12,344,030.33/4,002.87
  6. Step 6: Final answer
    x = 3,083.79

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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.