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Finding the Fourth Proportional to 5,294.82, 7,942.29 and 2,007.03

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Solution

The fourth proportional to 5,294.82, 7,942.29 and 2,007.03 is: 3,010.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.82 : 7,942.29 = 2,007.03 : x
  2. Step 2: Convert to fraction form
    5,294.82/7,942.29 = 2,007.03/x
  3. Step 3: Cross multiply
    5,294.82x = 7,942.29 × 2,007.03
  4. Step 4: Simplify right side
    5,294.82x = 15,940,414.30
  5. Step 5: Solve for x
    x = 15,940,414.30/5,294.82
  6. Step 6: Final answer
    x = 3,010.57

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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.