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Finding the Fourth Proportional to 3,944.64, 5,443.56 and 2,266.22

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Solution

The fourth proportional to 3,944.64, 5,443.56 and 2,266.22 is: 3,127.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.64 : 5,443.56 = 2,266.22 : x
  2. Step 2: Convert to fraction form
    3,944.64/5,443.56 = 2,266.22/x
  3. Step 3: Cross multiply
    3,944.64x = 5,443.56 × 2,266.22
  4. Step 4: Simplify right side
    3,944.64x = 12,336,304.54
  5. Step 5: Solve for x
    x = 12,336,304.54/3,944.64
  6. Step 6: Final answer
    x = 3,127.36

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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.