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Finding the Fourth Proportional to 3,912.76, 5,399.16 and 2,233.60

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Solution

The fourth proportional to 3,912.76, 5,399.16 and 2,233.60 is: 3,082.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.76 : 5,399.16 = 2,233.60 : x
  2. Step 2: Convert to fraction form
    3,912.76/5,399.16 = 2,233.60/x
  3. Step 3: Cross multiply
    3,912.76x = 5,399.16 × 2,233.60
  4. Step 4: Simplify right side
    3,912.76x = 12,059,563.78
  5. Step 5: Solve for x
    x = 12,059,563.78/3,912.76
  6. Step 6: Final answer
    x = 3,082.11

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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.