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Finding the Fourth Proportional to 4,974.38, 6,864.67 and 2,736.21

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Solution

The fourth proportional to 4,974.38, 6,864.67 and 2,736.21 is: 3,775.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.38 : 6,864.67 = 2,736.21 : x
  2. Step 2: Convert to fraction form
    4,974.38/6,864.67 = 2,736.21/x
  3. Step 3: Cross multiply
    4,974.38x = 6,864.67 × 2,736.21
  4. Step 4: Simplify right side
    4,974.38x = 18,783,178.70
  5. Step 5: Solve for x
    x = 18,783,178.70/4,974.38
  6. Step 6: Final answer
    x = 3,775.98

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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.