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Finding the Fourth Proportional to 3,818.96, 5,727.66 and 2,236.73

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Solution

The fourth proportional to 3,818.96, 5,727.66 and 2,236.73 is: 3,354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.96 : 5,727.66 = 2,236.73 : x
  2. Step 2: Convert to fraction form
    3,818.96/5,727.66 = 2,236.73/x
  3. Step 3: Cross multiply
    3,818.96x = 5,727.66 × 2,236.73
  4. Step 4: Simplify right side
    3,818.96x = 12,811,200.31
  5. Step 5: Solve for x
    x = 12,811,200.31/3,818.96
  6. Step 6: Final answer
    x = 3,354.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.