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Finding the Fourth Proportional to 3,794.82, 5,691.84 and 1,021.38

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Solution

The fourth proportional to 3,794.82, 5,691.84 and 1,021.38 is: 1,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.82 : 5,691.84 = 1,021.38 : x
  2. Step 2: Convert to fraction form
    3,794.82/5,691.84 = 1,021.38/x
  3. Step 3: Cross multiply
    3,794.82x = 5,691.84 × 1,021.38
  4. Step 4: Simplify right side
    3,794.82x = 5,813,506.36
  5. Step 5: Solve for x
    x = 5,813,506.36/3,794.82
  6. Step 6: Final answer
    x = 1,531.96

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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.