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Finding the Fourth Proportional to 3,452.22, 5,178.26 and 855.18

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Solution

The fourth proportional to 3,452.22, 5,178.26 and 855.18 is: 1,282.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.22 : 5,178.26 = 855.18 : x
  2. Step 2: Convert to fraction form
    3,452.22/5,178.26 = 855.18/x
  3. Step 3: Cross multiply
    3,452.22x = 5,178.26 × 855.18
  4. Step 4: Simplify right side
    3,452.22x = 4,428,344.39
  5. Step 5: Solve for x
    x = 4,428,344.39/3,452.22
  6. Step 6: Final answer
    x = 1,282.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.