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Finding the Fourth Proportional to 5,164.62, 7,124.67 and 3,067.26

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Solution

The fourth proportional to 5,164.62, 7,124.67 and 3,067.26 is: 4,231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.62 : 7,124.67 = 3,067.26 : x
  2. Step 2: Convert to fraction form
    5,164.62/7,124.67 = 3,067.26/x
  3. Step 3: Cross multiply
    5,164.62x = 7,124.67 × 3,067.26
  4. Step 4: Simplify right side
    5,164.62x = 21,853,215.30
  5. Step 5: Solve for x
    x = 21,853,215.30/5,164.62
  6. Step 6: Final answer
    x = 4,231.33

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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.