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Finding the Fourth Proportional to 3,674.97, 5,502.96 and 2,438.49

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Solution

The fourth proportional to 3,674.97, 5,502.96 and 2,438.49 is: 3,651.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.97 : 5,502.96 = 2,438.49 : x
  2. Step 2: Convert to fraction form
    3,674.97/5,502.96 = 2,438.49/x
  3. Step 3: Cross multiply
    3,674.97x = 5,502.96 × 2,438.49
  4. Step 4: Simplify right side
    3,674.97x = 13,418,912.93
  5. Step 5: Solve for x
    x = 13,418,912.93/3,674.97
  6. Step 6: Final answer
    x = 3,651.43

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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.