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Finding the Fourth Proportional to 3,766.41, 5,198.11 and 2,194.61

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Solution

The fourth proportional to 3,766.41, 5,198.11 and 2,194.61 is: 3,028.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.41 : 5,198.11 = 2,194.61 : x
  2. Step 2: Convert to fraction form
    3,766.41/5,198.11 = 2,194.61/x
  3. Step 3: Cross multiply
    3,766.41x = 5,198.11 × 2,194.61
  4. Step 4: Simplify right side
    3,766.41x = 11,407,792.71
  5. Step 5: Solve for x
    x = 11,407,792.71/3,766.41
  6. Step 6: Final answer
    x = 3,028.82

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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.