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Finding the Fourth Proportional to 3,817.92, 5,727.36 and 1,221.12

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Solution

The fourth proportional to 3,817.92, 5,727.36 and 1,221.12 is: 1,831.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.92 : 5,727.36 = 1,221.12 : x
  2. Step 2: Convert to fraction form
    3,817.92/5,727.36 = 1,221.12/x
  3. Step 3: Cross multiply
    3,817.92x = 5,727.36 × 1,221.12
  4. Step 4: Simplify right side
    3,817.92x = 6,993,793.84
  5. Step 5: Solve for x
    x = 6,993,793.84/3,817.92
  6. Step 6: Final answer
    x = 1,831.83

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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.