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Finding the Fourth Proportional to 4,979.50, 7,469.72 and 1,469.52

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Solution

The fourth proportional to 4,979.50, 7,469.72 and 1,469.52 is: 2,204.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,979.50 : 7,469.72 = 1,469.52 : x
  2. Step 2: Convert to fraction form
    4,979.50/7,469.72 = 1,469.52/x
  3. Step 3: Cross multiply
    4,979.50x = 7,469.72 × 1,469.52
  4. Step 4: Simplify right side
    4,979.50x = 10,976,902.93
  5. Step 5: Solve for x
    x = 10,976,902.93/4,979.50
  6. Step 6: Final answer
    x = 2,204.42

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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.