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Finding the Fourth Proportional to 3,944.68, 5,442.92 and 2,372.80

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Solution

The fourth proportional to 3,944.68, 5,442.92 and 2,372.80 is: 3,274.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.68 : 5,442.92 = 2,372.80 : x
  2. Step 2: Convert to fraction form
    3,944.68/5,442.92 = 2,372.80/x
  3. Step 3: Cross multiply
    3,944.68x = 5,442.92 × 2,372.80
  4. Step 4: Simplify right side
    3,944.68x = 12,914,960.58
  5. Step 5: Solve for x
    x = 12,914,960.58/3,944.68
  6. Step 6: Final answer
    x = 3,274.02

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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.