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Finding the Fourth Proportional to 3,872.72, 5,344.50 and 2,194.20

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Solution

The fourth proportional to 3,872.72, 5,344.50 and 2,194.20 is: 3,028.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.72 : 5,344.50 = 2,194.20 : x
  2. Step 2: Convert to fraction form
    3,872.72/5,344.50 = 2,194.20/x
  3. Step 3: Cross multiply
    3,872.72x = 5,344.50 × 2,194.20
  4. Step 4: Simplify right side
    3,872.72x = 11,726,901.90
  5. Step 5: Solve for x
    x = 11,726,901.90/3,872.72
  6. Step 6: Final answer
    x = 3,028.08

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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.