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Finding the Fourth Proportional to 3,781.72, 5,667.12 and 3,318.40

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Solution

The fourth proportional to 3,781.72, 5,667.12 and 3,318.40 is: 4,972.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.72 : 5,667.12 = 3,318.40 : x
  2. Step 2: Convert to fraction form
    3,781.72/5,667.12 = 3,318.40/x
  3. Step 3: Cross multiply
    3,781.72x = 5,667.12 × 3,318.40
  4. Step 4: Simplify right side
    3,781.72x = 18,805,771.01
  5. Step 5: Solve for x
    x = 18,805,771.01/3,781.72
  6. Step 6: Final answer
    x = 4,972.81

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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.