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Finding the Fourth Proportional to 3,452.96, 5,179.38 and 855.89

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Solution

The fourth proportional to 3,452.96, 5,179.38 and 855.89 is: 1,283.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.96 : 5,179.38 = 855.89 : x
  2. Step 2: Convert to fraction form
    3,452.96/5,179.38 = 855.89/x
  3. Step 3: Cross multiply
    3,452.96x = 5,179.38 × 855.89
  4. Step 4: Simplify right side
    3,452.96x = 4,432,979.55
  5. Step 5: Solve for x
    x = 4,432,979.55/3,452.96
  6. Step 6: Final answer
    x = 1,283.82

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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.