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Finding the Fourth Proportional to 6,155.92, 8,489.50 and 4,169.40

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Solution

The fourth proportional to 6,155.92, 8,489.50 and 4,169.40 is: 5,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.92 : 8,489.50 = 4,169.40 : x
  2. Step 2: Convert to fraction form
    6,155.92/8,489.50 = 4,169.40/x
  3. Step 3: Cross multiply
    6,155.92x = 8,489.50 × 4,169.40
  4. Step 4: Simplify right side
    6,155.92x = 35,396,121.30
  5. Step 5: Solve for x
    x = 35,396,121.30/6,155.92
  6. Step 6: Final answer
    x = 5,749.93

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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.