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Finding the Fourth Proportional to 3,794.92, 5,691.87 and 1,021.82

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Solution

The fourth proportional to 3,794.92, 5,691.87 and 1,021.82 is: 1,532.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.92 : 5,691.87 = 1,021.82 : x
  2. Step 2: Convert to fraction form
    3,794.92/5,691.87 = 1,021.82/x
  3. Step 3: Cross multiply
    3,794.92x = 5,691.87 × 1,021.82
  4. Step 4: Simplify right side
    3,794.92x = 5,816,038.14
  5. Step 5: Solve for x
    x = 5,816,038.14/3,794.92
  6. Step 6: Final answer
    x = 1,532.59

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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.