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Finding the Fourth Proportional to 4,906.08, 6,773.82 and 3,769.86

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Solution

The fourth proportional to 4,906.08, 6,773.82 and 3,769.86 is: 5,205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.08 : 6,773.82 = 3,769.86 : x
  2. Step 2: Convert to fraction form
    4,906.08/6,773.82 = 3,769.86/x
  3. Step 3: Cross multiply
    4,906.08x = 6,773.82 × 3,769.86
  4. Step 4: Simplify right side
    4,906.08x = 25,536,353.07
  5. Step 5: Solve for x
    x = 25,536,353.07/4,906.08
  6. Step 6: Final answer
    x = 5,205.04

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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.