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Finding the Fourth Proportional to 5,218.91, 7,202.09 and 2,861

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Solution

The fourth proportional to 5,218.91, 7,202.09 and 2,861 is: 3,948.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.91 : 7,202.09 = 2,861 : x
  2. Step 2: Convert to fraction form
    5,218.91/7,202.09 = 2,861/x
  3. Step 3: Cross multiply
    5,218.91x = 7,202.09 × 2,861
  4. Step 4: Simplify right side
    5,218.91x = 20,605,179.49
  5. Step 5: Solve for x
    x = 20,605,179.49/5,218.91
  6. Step 6: Final answer
    x = 3,948.18

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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.