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Finding the Fourth Proportional to 5,769.91, 7,962.89 and 4,351.09

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Solution

The fourth proportional to 5,769.91, 7,962.89 and 4,351.09 is: 6,004.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.91 : 7,962.89 = 4,351.09 : x
  2. Step 2: Convert to fraction form
    5,769.91/7,962.89 = 4,351.09/x
  3. Step 3: Cross multiply
    5,769.91x = 7,962.89 × 4,351.09
  4. Step 4: Simplify right side
    5,769.91x = 34,647,251.05
  5. Step 5: Solve for x
    x = 34,647,251.05/5,769.91
  6. Step 6: Final answer
    x = 6,004.82

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1.5x scale

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.