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Finding the Fourth Proportional to 4,174.36, 5,786.97 and 3,952.42

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Solution

The fourth proportional to 4,174.36, 5,786.97 and 3,952.42 is: 5,479.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.36 : 5,786.97 = 3,952.42 : x
  2. Step 2: Convert to fraction form
    4,174.36/5,786.97 = 3,952.42/x
  3. Step 3: Cross multiply
    4,174.36x = 5,786.97 × 3,952.42
  4. Step 4: Simplify right side
    4,174.36x = 22,872,535.97
  5. Step 5: Solve for x
    x = 22,872,535.97/4,174.36
  6. Step 6: Final answer
    x = 5,479.29

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.