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Finding the Fourth Proportional to 3,512.38, 4,847.08 and 1,940.47

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Solution

The fourth proportional to 3,512.38, 4,847.08 and 1,940.47 is: 2,677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.38 : 4,847.08 = 1,940.47 : x
  2. Step 2: Convert to fraction form
    3,512.38/4,847.08 = 1,940.47/x
  3. Step 3: Cross multiply
    3,512.38x = 4,847.08 × 1,940.47
  4. Step 4: Simplify right side
    3,512.38x = 9,405,613.33
  5. Step 5: Solve for x
    x = 9,405,613.33/3,512.38
  6. Step 6: Final answer
    x = 2,677.85

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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.