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Finding the Fourth Proportional to 3,723.96, 5,138.02 and 2,399.34

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Solution

The fourth proportional to 3,723.96, 5,138.02 and 2,399.34 is: 3,310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.96 : 5,138.02 = 2,399.34 : x
  2. Step 2: Convert to fraction form
    3,723.96/5,138.02 = 2,399.34/x
  3. Step 3: Cross multiply
    3,723.96x = 5,138.02 × 2,399.34
  4. Step 4: Simplify right side
    3,723.96x = 12,327,856.91
  5. Step 5: Solve for x
    x = 12,327,856.91/3,723.96
  6. Step 6: Final answer
    x = 3,310.42

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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.