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Finding the Fourth Proportional to 4,974.72, 6,865.38 and 2,986.38

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Solution

The fourth proportional to 4,974.72, 6,865.38 and 2,986.38 is: 4,121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.72 : 6,865.38 = 2,986.38 : x
  2. Step 2: Convert to fraction form
    4,974.72/6,865.38 = 2,986.38/x
  3. Step 3: Cross multiply
    4,974.72x = 6,865.38 × 2,986.38
  4. Step 4: Simplify right side
    4,974.72x = 20,502,633.52
  5. Step 5: Solve for x
    x = 20,502,633.52/4,974.72
  6. Step 6: Final answer
    x = 4,121.36

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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.