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Finding the Fourth Proportional to 5,227, 7,213.90 and 3,019

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Solution

The fourth proportional to 5,227, 7,213.90 and 3,019 is: 4,166.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227 : 7,213.90 = 3,019 : x
  2. Step 2: Convert to fraction form
    5,227/7,213.90 = 3,019/x
  3. Step 3: Cross multiply
    5,227x = 7,213.90 × 3,019
  4. Step 4: Simplify right side
    5,227x = 21,778,764.10
  5. Step 5: Solve for x
    x = 21,778,764.10/5,227
  6. Step 6: Final answer
    x = 4,166.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.