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Finding the Fourth Proportional to 3,879.40, 5,812.70 and 3,226.60

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Solution

The fourth proportional to 3,879.40, 5,812.70 and 3,226.60 is: 4,834.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.40 : 5,812.70 = 3,226.60 : x
  2. Step 2: Convert to fraction form
    3,879.40/5,812.70 = 3,226.60/x
  3. Step 3: Cross multiply
    3,879.40x = 5,812.70 × 3,226.60
  4. Step 4: Simplify right side
    3,879.40x = 18,755,257.82
  5. Step 5: Solve for x
    x = 18,755,257.82/3,879.40
  6. Step 6: Final answer
    x = 4,834.58

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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.