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Finding the Fourth Proportional to 5,168.97, 7,753.54 and 1,471.29

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Solution

The fourth proportional to 5,168.97, 7,753.54 and 1,471.29 is: 2,206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.97 : 7,753.54 = 1,471.29 : x
  2. Step 2: Convert to fraction form
    5,168.97/7,753.54 = 1,471.29/x
  3. Step 3: Cross multiply
    5,168.97x = 7,753.54 × 1,471.29
  4. Step 4: Simplify right side
    5,168.97x = 11,407,705.87
  5. Step 5: Solve for x
    x = 11,407,705.87/5,168.97
  6. Step 6: Final answer
    x = 2,206.96

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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.