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Finding the Fourth Proportional to 5,478.56, 8,217.02 and 2,015

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Solution

The fourth proportional to 5,478.56, 8,217.02 and 2,015 is: 3,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.56 : 8,217.02 = 2,015 : x
  2. Step 2: Convert to fraction form
    5,478.56/8,217.02 = 2,015/x
  3. Step 3: Cross multiply
    5,478.56x = 8,217.02 × 2,015
  4. Step 4: Simplify right side
    5,478.56x = 16,557,295.30
  5. Step 5: Solve for x
    x = 16,557,295.30/5,478.56
  6. Step 6: Final answer
    x = 3,022.20

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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.