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Finding the Fourth Proportional to 3,452.82, 5,179.22 and 855.75

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Solution

The fourth proportional to 3,452.82, 5,179.22 and 855.75 is: 1,283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.82 : 5,179.22 = 855.75 : x
  2. Step 2: Convert to fraction form
    3,452.82/5,179.22 = 855.75/x
  3. Step 3: Cross multiply
    3,452.82x = 5,179.22 × 855.75
  4. Step 4: Simplify right side
    3,452.82x = 4,432,113.24
  5. Step 5: Solve for x
    x = 4,432,113.24/3,452.82
  6. Step 6: Final answer
    x = 1,283.62

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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.