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Finding the Fourth Proportional to 5,229.87, 7,214.87 and 3,105.50

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Solution

The fourth proportional to 5,229.87, 7,214.87 and 3,105.50 is: 4,284.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.87 : 7,214.87 = 3,105.50 : x
  2. Step 2: Convert to fraction form
    5,229.87/7,214.87 = 3,105.50/x
  3. Step 3: Cross multiply
    5,229.87x = 7,214.87 × 3,105.50
  4. Step 4: Simplify right side
    5,229.87x = 22,405,727.18
  5. Step 5: Solve for x
    x = 22,405,727.18/5,229.87
  6. Step 6: Final answer
    x = 4,284.18

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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.