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Finding the Fourth Proportional to 5,219.24, 7,202.82 and 2,861.24

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Solution

The fourth proportional to 5,219.24, 7,202.82 and 2,861.24 is: 3,948.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.24 : 7,202.82 = 2,861.24 : x
  2. Step 2: Convert to fraction form
    5,219.24/7,202.82 = 2,861.24/x
  3. Step 3: Cross multiply
    5,219.24x = 7,202.82 × 2,861.24
  4. Step 4: Simplify right side
    5,219.24x = 20,608,996.70
  5. Step 5: Solve for x
    x = 20,608,996.70/5,219.24
  6. Step 6: Final answer
    x = 3,948.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.