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Finding the Fourth Proportional to 4,149.72, 6,224.58 and 2,847.24

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Solution

The fourth proportional to 4,149.72, 6,224.58 and 2,847.24 is: 4,270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.72 : 6,224.58 = 2,847.24 : x
  2. Step 2: Convert to fraction form
    4,149.72/6,224.58 = 2,847.24/x
  3. Step 3: Cross multiply
    4,149.72x = 6,224.58 × 2,847.24
  4. Step 4: Simplify right side
    4,149.72x = 17,722,873.16
  5. Step 5: Solve for x
    x = 17,722,873.16/4,149.72
  6. Step 6: Final answer
    x = 4,270.86

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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.