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Finding the Fourth Proportional to 3,706.97, 5,549.31 and 2,241.68

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Solution

The fourth proportional to 3,706.97, 5,549.31 and 2,241.68 is: 3,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.97 : 5,549.31 = 2,241.68 : x
  2. Step 2: Convert to fraction form
    3,706.97/5,549.31 = 2,241.68/x
  3. Step 3: Cross multiply
    3,706.97x = 5,549.31 × 2,241.68
  4. Step 4: Simplify right side
    3,706.97x = 12,439,749.49
  5. Step 5: Solve for x
    x = 12,439,749.49/3,706.97
  6. Step 6: Final answer
    x = 3,355.78

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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.