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Finding the Fourth Proportional to 3,812.66, 5,717.18 and 2,231.84

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Solution

The fourth proportional to 3,812.66, 5,717.18 and 2,231.84 is: 3,346.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.66 : 5,717.18 = 2,231.84 : x
  2. Step 2: Convert to fraction form
    3,812.66/5,717.18 = 2,231.84/x
  3. Step 3: Cross multiply
    3,812.66x = 5,717.18 × 2,231.84
  4. Step 4: Simplify right side
    3,812.66x = 12,759,791.27
  5. Step 5: Solve for x
    x = 12,759,791.27/3,812.66
  6. Step 6: Final answer
    x = 3,346.69

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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.