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Finding the Fourth Proportional to 3,969.64, 5,478.01 and 2,201.23

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Solution

The fourth proportional to 3,969.64, 5,478.01 and 2,201.23 is: 3,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.64 : 5,478.01 = 2,201.23 : x
  2. Step 2: Convert to fraction form
    3,969.64/5,478.01 = 2,201.23/x
  3. Step 3: Cross multiply
    3,969.64x = 5,478.01 × 2,201.23
  4. Step 4: Simplify right side
    3,969.64x = 12,058,359.95
  5. Step 5: Solve for x
    x = 12,058,359.95/3,969.64
  6. Step 6: Final answer
    x = 3,037.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.