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Finding the Fourth Proportional to 5,769.92, 8,662.57 and 3,902.09

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Solution

The fourth proportional to 5,769.92, 8,662.57 and 3,902.09 is: 5,858.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.92 : 8,662.57 = 3,902.09 : x
  2. Step 2: Convert to fraction form
    5,769.92/8,662.57 = 3,902.09/x
  3. Step 3: Cross multiply
    5,769.92x = 8,662.57 × 3,902.09
  4. Step 4: Simplify right side
    5,769.92x = 33,802,097.86
  5. Step 5: Solve for x
    x = 33,802,097.86/5,769.92
  6. Step 6: Final answer
    x = 5,858.33

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1.5x scale

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.