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Finding the Fourth Proportional to 3,767.92, 5,200.27 and 2,353.05

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Solution

The fourth proportional to 3,767.92, 5,200.27 and 2,353.05 is: 3,247.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.92 : 5,200.27 = 2,353.05 : x
  2. Step 2: Convert to fraction form
    3,767.92/5,200.27 = 2,353.05/x
  3. Step 3: Cross multiply
    3,767.92x = 5,200.27 × 2,353.05
  4. Step 4: Simplify right side
    3,767.92x = 12,236,489.44
  5. Step 5: Solve for x
    x = 12,236,489.44/3,767.92
  6. Step 6: Final answer
    x = 3,247.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.