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Finding the Fourth Proportional to 3,792.70, 5,234.56 and 2,200.33

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Solution

The fourth proportional to 3,792.70, 5,234.56 and 2,200.33 is: 3,036.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.70 : 5,234.56 = 2,200.33 : x
  2. Step 2: Convert to fraction form
    3,792.70/5,234.56 = 2,200.33/x
  3. Step 3: Cross multiply
    3,792.70x = 5,234.56 × 2,200.33
  4. Step 4: Simplify right side
    3,792.70x = 11,517,747.65
  5. Step 5: Solve for x
    x = 11,517,747.65/3,792.70
  6. Step 6: Final answer
    x = 3,036.82

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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.