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Finding the Fourth Proportional to 3,678.81, 5,518.49 and 1,081.86

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Solution

The fourth proportional to 3,678.81, 5,518.49 and 1,081.86 is: 1,622.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.81 : 5,518.49 = 1,081.86 : x
  2. Step 2: Convert to fraction form
    3,678.81/5,518.49 = 1,081.86/x
  3. Step 3: Cross multiply
    3,678.81x = 5,518.49 × 1,081.86
  4. Step 4: Simplify right side
    3,678.81x = 5,970,228.18
  5. Step 5: Solve for x
    x = 5,970,228.18/3,678.81
  6. Step 6: Final answer
    x = 1,622.87

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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.