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Finding the Fourth Proportional to 3,965.02, 5,471.07 and 2,549.02

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Solution

The fourth proportional to 3,965.02, 5,471.07 and 2,549.02 is: 3,517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.02 : 5,471.07 = 2,549.02 : x
  2. Step 2: Convert to fraction form
    3,965.02/5,471.07 = 2,549.02/x
  3. Step 3: Cross multiply
    3,965.02x = 5,471.07 × 2,549.02
  4. Step 4: Simplify right side
    3,965.02x = 13,945,866.85
  5. Step 5: Solve for x
    x = 13,945,866.85/3,965.02
  6. Step 6: Final answer
    x = 3,517.22

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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.