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Finding the Fourth Proportional to 3,868.56, 5,331.42 and 2,872.26

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Solution

The fourth proportional to 3,868.56, 5,331.42 and 2,872.26 is: 3,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.56 : 5,331.42 = 2,872.26 : x
  2. Step 2: Convert to fraction form
    3,868.56/5,331.42 = 2,872.26/x
  3. Step 3: Cross multiply
    3,868.56x = 5,331.42 × 2,872.26
  4. Step 4: Simplify right side
    3,868.56x = 15,313,224.41
  5. Step 5: Solve for x
    x = 15,313,224.41/3,868.56
  6. Step 6: Final answer
    x = 3,958.38

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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.