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Finding the Fourth Proportional to 6,105.92, 8,426.40 and 3,453.62

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Solution

The fourth proportional to 6,105.92, 8,426.40 and 3,453.62 is: 4,766.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.92 : 8,426.40 = 3,453.62 : x
  2. Step 2: Convert to fraction form
    6,105.92/8,426.40 = 3,453.62/x
  3. Step 3: Cross multiply
    6,105.92x = 8,426.40 × 3,453.62
  4. Step 4: Simplify right side
    6,105.92x = 29,101,583.57
  5. Step 5: Solve for x
    x = 29,101,583.57/6,105.92
  6. Step 6: Final answer
    x = 4,766.13

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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.