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Finding the Fourth Proportional to 3,965.52, 5,471.76 and 2,549.52

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Solution

The fourth proportional to 3,965.52, 5,471.76 and 2,549.52 is: 3,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.52 : 5,471.76 = 2,549.52 : x
  2. Step 2: Convert to fraction form
    3,965.52/5,471.76 = 2,549.52/x
  3. Step 3: Cross multiply
    3,965.52x = 5,471.76 × 2,549.52
  4. Step 4: Simplify right side
    3,965.52x = 13,950,361.56
  5. Step 5: Solve for x
    x = 13,950,361.56/3,965.52
  6. Step 6: Final answer
    x = 3,517.91

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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.