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Finding the Fourth Proportional to 3,969.80, 5,478.31 and 2,201.36

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Solution

The fourth proportional to 3,969.80, 5,478.31 and 2,201.36 is: 3,037.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.80 : 5,478.31 = 2,201.36 : x
  2. Step 2: Convert to fraction form
    3,969.80/5,478.31 = 2,201.36/x
  3. Step 3: Cross multiply
    3,969.80x = 5,478.31 × 2,201.36
  4. Step 4: Simplify right side
    3,969.80x = 12,059,732.50
  5. Step 5: Solve for x
    x = 12,059,732.50/3,969.80
  6. Step 6: Final answer
    x = 3,037.87

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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.