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Finding the Fourth Proportional to 3,581.82, 4,944.31 and 2,255.27

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Solution

The fourth proportional to 3,581.82, 4,944.31 and 2,255.27 is: 3,113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.82 : 4,944.31 = 2,255.27 : x
  2. Step 2: Convert to fraction form
    3,581.82/4,944.31 = 2,255.27/x
  3. Step 3: Cross multiply
    3,581.82x = 4,944.31 × 2,255.27
  4. Step 4: Simplify right side
    3,581.82x = 11,150,723.65
  5. Step 5: Solve for x
    x = 11,150,723.65/3,581.82
  6. Step 6: Final answer
    x = 3,113.14

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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.