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Finding the Fourth Proportional to 3,969.89, 5,478.08 and 2,201.49

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Solution

The fourth proportional to 3,969.89, 5,478.08 and 2,201.49 is: 3,037.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.89 : 5,478.08 = 2,201.49 : x
  2. Step 2: Convert to fraction form
    3,969.89/5,478.08 = 2,201.49/x
  3. Step 3: Cross multiply
    3,969.89x = 5,478.08 × 2,201.49
  4. Step 4: Simplify right side
    3,969.89x = 12,059,910.95
  5. Step 5: Solve for x
    x = 12,059,910.95/3,969.89
  6. Step 6: Final answer
    x = 3,037.85

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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.