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Finding the Fourth Proportional to 3,872.46, 5,337.93 and 3,241.86

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Solution

The fourth proportional to 3,872.46, 5,337.93 and 3,241.86 is: 4,468.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.46 : 5,337.93 = 3,241.86 : x
  2. Step 2: Convert to fraction form
    3,872.46/5,337.93 = 3,241.86/x
  3. Step 3: Cross multiply
    3,872.46x = 5,337.93 × 3,241.86
  4. Step 4: Simplify right side
    3,872.46x = 17,304,821.75
  5. Step 5: Solve for x
    x = 17,304,821.75/3,872.46
  6. Step 6: Final answer
    x = 4,468.69

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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.