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Finding the Fourth Proportional to 5,964.50, 8,229.74 and 3,446.22

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Solution

The fourth proportional to 5,964.50, 8,229.74 and 3,446.22 is: 4,755.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.50 : 8,229.74 = 3,446.22 : x
  2. Step 2: Convert to fraction form
    5,964.50/8,229.74 = 3,446.22/x
  3. Step 3: Cross multiply
    5,964.50x = 8,229.74 × 3,446.22
  4. Step 4: Simplify right side
    5,964.50x = 28,361,494.58
  5. Step 5: Solve for x
    x = 28,361,494.58/5,964.50
  6. Step 6: Final answer
    x = 4,755.05

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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.