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Finding the Fourth Proportional to 5,960.76, 8,942.17 and 2,452.70

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Solution

The fourth proportional to 5,960.76, 8,942.17 and 2,452.70 is: 3,679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.76 : 8,942.17 = 2,452.70 : x
  2. Step 2: Convert to fraction form
    5,960.76/8,942.17 = 2,452.70/x
  3. Step 3: Cross multiply
    5,960.76x = 8,942.17 × 2,452.70
  4. Step 4: Simplify right side
    5,960.76x = 21,932,415.65
  5. Step 5: Solve for x
    x = 21,932,415.65/5,960.76
  6. Step 6: Final answer
    x = 3,679.47

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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.