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Finding the Fourth Proportional to 3,912.27, 5,398.64 and 2,233.71

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Solution

The fourth proportional to 3,912.27, 5,398.64 and 2,233.71 is: 3,082.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.27 : 5,398.64 = 2,233.71 : x
  2. Step 2: Convert to fraction form
    3,912.27/5,398.64 = 2,233.71/x
  3. Step 3: Cross multiply
    3,912.27x = 5,398.64 × 2,233.71
  4. Step 4: Simplify right side
    3,912.27x = 12,058,984.99
  5. Step 5: Solve for x
    x = 12,058,984.99/3,912.27
  6. Step 6: Final answer
    x = 3,082.35

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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.