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Finding the Fourth Proportional to 5,194.47, 7,794 and 2,728.70

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Solution

The fourth proportional to 5,194.47, 7,794 and 2,728.70 is: 4,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.47 : 7,794 = 2,728.70 : x
  2. Step 2: Convert to fraction form
    5,194.47/7,794 = 2,728.70/x
  3. Step 3: Cross multiply
    5,194.47x = 7,794 × 2,728.70
  4. Step 4: Simplify right side
    5,194.47x = 21,267,487.80
  5. Step 5: Solve for x
    x = 21,267,487.80/5,194.47
  6. Step 6: Final answer
    x = 4,094.26

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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.