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Finding the Fourth Proportional to 3,912.49, 5,864.68 and 2,266.17

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Solution

The fourth proportional to 3,912.49, 5,864.68 and 2,266.17 is: 3,396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.49 : 5,864.68 = 2,266.17 : x
  2. Step 2: Convert to fraction form
    3,912.49/5,864.68 = 2,266.17/x
  3. Step 3: Cross multiply
    3,912.49x = 5,864.68 × 2,266.17
  4. Step 4: Simplify right side
    3,912.49x = 13,290,361.88
  5. Step 5: Solve for x
    x = 13,290,361.88/3,912.49
  6. Step 6: Final answer
    x = 3,396.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.