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Finding the Fourth Proportional to 3,293.06, 4,939.52 and 827.87

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Solution

The fourth proportional to 3,293.06, 4,939.52 and 827.87 is: 1,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.06 : 4,939.52 = 827.87 : x
  2. Step 2: Convert to fraction form
    3,293.06/4,939.52 = 827.87/x
  3. Step 3: Cross multiply
    3,293.06x = 4,939.52 × 827.87
  4. Step 4: Simplify right side
    3,293.06x = 4,089,251.59
  5. Step 5: Solve for x
    x = 4,089,251.59/3,293.06
  6. Step 6: Final answer
    x = 1,241.78

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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.