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Finding the Fourth Proportional to 3,909.72, 5,391.54 and 3,163.08

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Solution

The fourth proportional to 3,909.72, 5,391.54 and 3,163.08 is: 4,361.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.72 : 5,391.54 = 3,163.08 : x
  2. Step 2: Convert to fraction form
    3,909.72/5,391.54 = 3,163.08/x
  3. Step 3: Cross multiply
    3,909.72x = 5,391.54 × 3,163.08
  4. Step 4: Simplify right side
    3,909.72x = 17,053,872.34
  5. Step 5: Solve for x
    x = 17,053,872.34/3,909.72
  6. Step 6: Final answer
    x = 4,361.92

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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.