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Finding the Fourth Proportional to 7,249.70, 10,882.28 and 3,091.65

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Solution

The fourth proportional to 7,249.70, 10,882.28 and 3,091.65 is: 4,640.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.70 : 10,882.28 = 3,091.65 : x
  2. Step 2: Convert to fraction form
    7,249.70/10,882.28 = 3,091.65/x
  3. Step 3: Cross multiply
    7,249.70x = 10,882.28 × 3,091.65
  4. Step 4: Simplify right side
    7,249.70x = 33,644,185.50
  5. Step 5: Solve for x
    x = 33,644,185.50/7,249.70
  6. Step 6: Final answer
    x = 4,640.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.