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Finding the Fourth Proportional to 3,969.71, 5,478.17 and 2,201.31

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Solution

The fourth proportional to 3,969.71, 5,478.17 and 2,201.31 is: 3,037.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.71 : 5,478.17 = 2,201.31 : x
  2. Step 2: Convert to fraction form
    3,969.71/5,478.17 = 2,201.31/x
  3. Step 3: Cross multiply
    3,969.71x = 5,478.17 × 2,201.31
  4. Step 4: Simplify right side
    3,969.71x = 12,059,139.40
  5. Step 5: Solve for x
    x = 12,059,139.40/3,969.71
  6. Step 6: Final answer
    x = 3,037.79

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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.