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Finding the Fourth Proportional to 3,678.62, 5,517.78 and 1,081.58

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Solution

The fourth proportional to 3,678.62, 5,517.78 and 1,081.58 is: 1,622.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.62 : 5,517.78 = 1,081.58 : x
  2. Step 2: Convert to fraction form
    3,678.62/5,517.78 = 1,081.58/x
  3. Step 3: Cross multiply
    3,678.62x = 5,517.78 × 1,081.58
  4. Step 4: Simplify right side
    3,678.62x = 5,967,920.49
  5. Step 5: Solve for x
    x = 5,967,920.49/3,678.62
  6. Step 6: Final answer
    x = 1,622.33

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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.