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Finding the Fourth Proportional to 5,294.47, 7,942.56 and 2,007.85

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Solution

The fourth proportional to 5,294.47, 7,942.56 and 2,007.85 is: 3,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.47 : 7,942.56 = 2,007.85 : x
  2. Step 2: Convert to fraction form
    5,294.47/7,942.56 = 2,007.85/x
  3. Step 3: Cross multiply
    5,294.47x = 7,942.56 × 2,007.85
  4. Step 4: Simplify right side
    5,294.47x = 15,947,469.10
  5. Step 5: Solve for x
    x = 15,947,469.10/5,294.47
  6. Step 6: Final answer
    x = 3,012.10

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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.