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Finding the Fourth Proportional to 3,912.37, 5,398.54 and 2,233.68

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Solution

The fourth proportional to 3,912.37, 5,398.54 and 2,233.68 is: 3,082.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.37 : 5,398.54 = 2,233.68 : x
  2. Step 2: Convert to fraction form
    3,912.37/5,398.54 = 2,233.68/x
  3. Step 3: Cross multiply
    3,912.37x = 5,398.54 × 2,233.68
  4. Step 4: Simplify right side
    3,912.37x = 12,058,610.83
  5. Step 5: Solve for x
    x = 12,058,610.83/3,912.37
  6. Step 6: Final answer
    x = 3,082.18

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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.