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Finding the Fourth Proportional to 3,872.26, 5,343.02 and 2,278.78

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Solution

The fourth proportional to 3,872.26, 5,343.02 and 2,278.78 is: 3,144.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.26 : 5,343.02 = 2,278.78 : x
  2. Step 2: Convert to fraction form
    3,872.26/5,343.02 = 2,278.78/x
  3. Step 3: Cross multiply
    3,872.26x = 5,343.02 × 2,278.78
  4. Step 4: Simplify right side
    3,872.26x = 12,175,567.12
  5. Step 5: Solve for x
    x = 12,175,567.12/3,872.26
  6. Step 6: Final answer
    x = 3,144.31

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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.