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Finding the Fourth Proportional to 6,106.38, 8,426.80 and 3,453.73

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Solution

The fourth proportional to 6,106.38, 8,426.80 and 3,453.73 is: 4,766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.38 : 8,426.80 = 3,453.73 : x
  2. Step 2: Convert to fraction form
    6,106.38/8,426.80 = 3,453.73/x
  3. Step 3: Cross multiply
    6,106.38x = 8,426.80 × 3,453.73
  4. Step 4: Simplify right side
    6,106.38x = 29,103,891.96
  5. Step 5: Solve for x
    x = 29,103,891.96/6,106.38
  6. Step 6: Final answer
    x = 4,766.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.