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Finding the Fourth Proportional to 3,872.88, 5,344.44 and 2,694

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Solution

The fourth proportional to 3,872.88, 5,344.44 and 2,694 is: 3,717.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.88 : 5,344.44 = 2,694 : x
  2. Step 2: Convert to fraction form
    3,872.88/5,344.44 = 2,694/x
  3. Step 3: Cross multiply
    3,872.88x = 5,344.44 × 2,694
  4. Step 4: Simplify right side
    3,872.88x = 14,397,921.36
  5. Step 5: Solve for x
    x = 14,397,921.36/3,872.88
  6. Step 6: Final answer
    x = 3,717.63

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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.