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Finding the Fourth Proportional to 3,944.82, 5,443.26 and 2,266.30

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Solution

The fourth proportional to 3,944.82, 5,443.26 and 2,266.30 is: 3,127.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.82 : 5,443.26 = 2,266.30 : x
  2. Step 2: Convert to fraction form
    3,944.82/5,443.26 = 2,266.30/x
  3. Step 3: Cross multiply
    3,944.82x = 5,443.26 × 2,266.30
  4. Step 4: Simplify right side
    3,944.82x = 12,336,060.14
  5. Step 5: Solve for x
    x = 12,336,060.14/3,944.82
  6. Step 6: Final answer
    x = 3,127.15

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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.