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Finding the Fourth Proportional to 5,998.80, 8,276.94 and 3,640.92

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Solution

The fourth proportional to 5,998.80, 8,276.94 and 3,640.92 is: 5,023.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.80 : 8,276.94 = 3,640.92 : x
  2. Step 2: Convert to fraction form
    5,998.80/8,276.94 = 3,640.92/x
  3. Step 3: Cross multiply
    5,998.80x = 8,276.94 × 3,640.92
  4. Step 4: Simplify right side
    5,998.80x = 30,135,676.38
  5. Step 5: Solve for x
    x = 30,135,676.38/5,998.80
  6. Step 6: Final answer
    x = 5,023.62

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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.