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Finding the Fourth Proportional to 3,944.70, 5,443.26 and 2,265.78

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Solution

The fourth proportional to 3,944.70, 5,443.26 and 2,265.78 is: 3,126.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.70 : 5,443.26 = 2,265.78 : x
  2. Step 2: Convert to fraction form
    3,944.70/5,443.26 = 2,265.78/x
  3. Step 3: Cross multiply
    3,944.70x = 5,443.26 × 2,265.78
  4. Step 4: Simplify right side
    3,944.70x = 12,333,229.64
  5. Step 5: Solve for x
    x = 12,333,229.64/3,944.70
  6. Step 6: Final answer
    x = 3,126.53

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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.