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Finding the Fourth Proportional to 5,269.92, 7,273.08 and 3,174

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Solution

The fourth proportional to 5,269.92, 7,273.08 and 3,174 is: 4,380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.92 : 7,273.08 = 3,174 : x
  2. Step 2: Convert to fraction form
    5,269.92/7,273.08 = 3,174/x
  3. Step 3: Cross multiply
    5,269.92x = 7,273.08 × 3,174
  4. Step 4: Simplify right side
    5,269.92x = 23,084,755.92
  5. Step 5: Solve for x
    x = 23,084,755.92/5,269.92
  6. Step 6: Final answer
    x = 4,380.48

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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.