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Finding the Fourth Proportional to 3,626.91, 5,441.42 and 1,161.68

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Solution

The fourth proportional to 3,626.91, 5,441.42 and 1,161.68 is: 1,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.91 : 5,441.42 = 1,161.68 : x
  2. Step 2: Convert to fraction form
    3,626.91/5,441.42 = 1,161.68/x
  3. Step 3: Cross multiply
    3,626.91x = 5,441.42 × 1,161.68
  4. Step 4: Simplify right side
    3,626.91x = 6,321,164.48
  5. Step 5: Solve for x
    x = 6,321,164.48/3,626.91
  6. Step 6: Final answer
    x = 1,742.85

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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.