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Finding the Fourth Proportional to 5,072.76, 7,608.96 and 2,149.20

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Solution

The fourth proportional to 5,072.76, 7,608.96 and 2,149.20 is: 3,223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.76 : 7,608.96 = 2,149.20 : x
  2. Step 2: Convert to fraction form
    5,072.76/7,608.96 = 2,149.20/x
  3. Step 3: Cross multiply
    5,072.76x = 7,608.96 × 2,149.20
  4. Step 4: Simplify right side
    5,072.76x = 16,353,176.83
  5. Step 5: Solve for x
    x = 16,353,176.83/5,072.76
  6. Step 6: Final answer
    x = 3,223.72

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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.