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Finding the Fourth Proportional to 4,986.28, 6,876.97 and 3,640.38

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Solution

The fourth proportional to 4,986.28, 6,876.97 and 3,640.38 is: 5,020.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986.28 : 6,876.97 = 3,640.38 : x
  2. Step 2: Convert to fraction form
    4,986.28/6,876.97 = 3,640.38/x
  3. Step 3: Cross multiply
    4,986.28x = 6,876.97 × 3,640.38
  4. Step 4: Simplify right side
    4,986.28x = 25,034,784.05
  5. Step 5: Solve for x
    x = 25,034,784.05/4,986.28
  6. Step 6: Final answer
    x = 5,020.73

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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.