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Finding the Fourth Proportional to 5,219.19, 7,202.57 and 2,861.19

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Solution

The fourth proportional to 5,219.19, 7,202.57 and 2,861.19 is: 3,948.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.19 : 7,202.57 = 2,861.19 : x
  2. Step 2: Convert to fraction form
    5,219.19/7,202.57 = 2,861.19/x
  3. Step 3: Cross multiply
    5,219.19x = 7,202.57 × 2,861.19
  4. Step 4: Simplify right side
    5,219.19x = 20,607,906.95
  5. Step 5: Solve for x
    x = 20,607,906.95/5,219.19
  6. Step 6: Final answer
    x = 3,948.49

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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.