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Finding the Fourth Proportional to 4,000.48, 5,520.82 and 2,231.74

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Solution

The fourth proportional to 4,000.48, 5,520.82 and 2,231.74 is: 3,079.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.48 : 5,520.82 = 2,231.74 : x
  2. Step 2: Convert to fraction form
    4,000.48/5,520.82 = 2,231.74/x
  3. Step 3: Cross multiply
    4,000.48x = 5,520.82 × 2,231.74
  4. Step 4: Simplify right side
    4,000.48x = 12,321,034.83
  5. Step 5: Solve for x
    x = 12,321,034.83/4,000.48
  6. Step 6: Final answer
    x = 3,079.89

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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.