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Finding the Fourth Proportional to 3,951.96, 5,448.64 and 3,241.20

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Solution

The fourth proportional to 3,951.96, 5,448.64 and 3,241.20 is: 4,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.96 : 5,448.64 = 3,241.20 : x
  2. Step 2: Convert to fraction form
    3,951.96/5,448.64 = 3,241.20/x
  3. Step 3: Cross multiply
    3,951.96x = 5,448.64 × 3,241.20
  4. Step 4: Simplify right side
    3,951.96x = 17,660,131.97
  5. Step 5: Solve for x
    x = 17,660,131.97/3,951.96
  6. Step 6: Final answer
    x = 4,468.70

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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.