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Finding the Fourth Proportional to 3,912.72, 5,400.08 and 2,233.74

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Solution

The fourth proportional to 3,912.72, 5,400.08 and 2,233.74 is: 3,082.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.72 : 5,400.08 = 2,233.74 : x
  2. Step 2: Convert to fraction form
    3,912.72/5,400.08 = 2,233.74/x
  3. Step 3: Cross multiply
    3,912.72x = 5,400.08 × 2,233.74
  4. Step 4: Simplify right side
    3,912.72x = 12,062,374.70
  5. Step 5: Solve for x
    x = 12,062,374.70/3,912.72
  6. Step 6: Final answer
    x = 3,082.86

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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.