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Finding the Fourth Proportional to 5,452.92, 8,181.81 and 2,855.25

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Solution

The fourth proportional to 5,452.92, 8,181.81 and 2,855.25 is: 4,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.92 : 8,181.81 = 2,855.25 : x
  2. Step 2: Convert to fraction form
    5,452.92/8,181.81 = 2,855.25/x
  3. Step 3: Cross multiply
    5,452.92x = 8,181.81 × 2,855.25
  4. Step 4: Simplify right side
    5,452.92x = 23,361,113.00
  5. Step 5: Solve for x
    x = 23,361,113.00/5,452.92
  6. Step 6: Final answer
    x = 4,284.15

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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.