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Finding the Fourth Proportional to 3,971.97, 5,481.13 and 2,203.54

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Solution

The fourth proportional to 3,971.97, 5,481.13 and 2,203.54 is: 3,040.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.97 : 5,481.13 = 2,203.54 : x
  2. Step 2: Convert to fraction form
    3,971.97/5,481.13 = 2,203.54/x
  3. Step 3: Cross multiply
    3,971.97x = 5,481.13 × 2,203.54
  4. Step 4: Simplify right side
    3,971.97x = 12,077,850.78
  5. Step 5: Solve for x
    x = 12,077,850.78/3,971.97
  6. Step 6: Final answer
    x = 3,040.77

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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.