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Finding the Fourth Proportional to 3,226.20, 4,832.10 and 2,578.20

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Solution

The fourth proportional to 3,226.20, 4,832.10 and 2,578.20 is: 3,861.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.20 : 4,832.10 = 2,578.20 : x
  2. Step 2: Convert to fraction form
    3,226.20/4,832.10 = 2,578.20/x
  3. Step 3: Cross multiply
    3,226.20x = 4,832.10 × 2,578.20
  4. Step 4: Simplify right side
    3,226.20x = 12,458,120.22
  5. Step 5: Solve for x
    x = 12,458,120.22/3,226.20
  6. Step 6: Final answer
    x = 3,861.55

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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.