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Finding the Fourth Proportional to 4,162.80, 6,244.20 and 3,822.60

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Solution

The fourth proportional to 4,162.80, 6,244.20 and 3,822.60 is: 5,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.80 : 6,244.20 = 3,822.60 : x
  2. Step 2: Convert to fraction form
    4,162.80/6,244.20 = 3,822.60/x
  3. Step 3: Cross multiply
    4,162.80x = 6,244.20 × 3,822.60
  4. Step 4: Simplify right side
    4,162.80x = 23,869,078.92
  5. Step 5: Solve for x
    x = 23,869,078.92/4,162.80
  6. Step 6: Final answer
    x = 5,733.90

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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.