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Finding the Fourth Proportional to 5,170.72, 7,754.64 and 2,092

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Solution

The fourth proportional to 5,170.72, 7,754.64 and 2,092 is: 3,137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.72 : 7,754.64 = 2,092 : x
  2. Step 2: Convert to fraction form
    5,170.72/7,754.64 = 2,092/x
  3. Step 3: Cross multiply
    5,170.72x = 7,754.64 × 2,092
  4. Step 4: Simplify right side
    5,170.72x = 16,222,706.88
  5. Step 5: Solve for x
    x = 16,222,706.88/5,170.72
  6. Step 6: Final answer
    x = 3,137.42

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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.