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Finding the Fourth Proportional to 3,969.49, 5,478.06 and 2,201.09

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Solution

The fourth proportional to 3,969.49, 5,478.06 and 2,201.09 is: 3,037.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.49 : 5,478.06 = 2,201.09 : x
  2. Step 2: Convert to fraction form
    3,969.49/5,478.06 = 2,201.09/x
  3. Step 3: Cross multiply
    3,969.49x = 5,478.06 × 2,201.09
  4. Step 4: Simplify right side
    3,969.49x = 12,057,703.09
  5. Step 5: Solve for x
    x = 12,057,703.09/3,969.49
  6. Step 6: Final answer
    x = 3,037.60

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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.