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Finding the Fourth Proportional to 3,969.77, 5,478.32 and 2,201.36

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Solution

The fourth proportional to 3,969.77, 5,478.32 and 2,201.36 is: 3,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.77 : 5,478.32 = 2,201.36 : x
  2. Step 2: Convert to fraction form
    3,969.77/5,478.32 = 2,201.36/x
  3. Step 3: Cross multiply
    3,969.77x = 5,478.32 × 2,201.36
  4. Step 4: Simplify right side
    3,969.77x = 12,059,732.63
  5. Step 5: Solve for x
    x = 12,059,732.63/3,969.77
  6. Step 6: Final answer
    x = 3,037.90

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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.