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Finding the Fourth Proportional to 3,686.33, 5,086.97 and 2,194.41

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Solution

The fourth proportional to 3,686.33, 5,086.97 and 2,194.41 is: 3,028.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.33 : 5,086.97 = 2,194.41 : x
  2. Step 2: Convert to fraction form
    3,686.33/5,086.97 = 2,194.41/x
  3. Step 3: Cross multiply
    3,686.33x = 5,086.97 × 2,194.41
  4. Step 4: Simplify right side
    3,686.33x = 11,162,914.17
  5. Step 5: Solve for x
    x = 11,162,914.17/3,686.33
  6. Step 6: Final answer
    x = 3,028.19

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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.