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Finding the Fourth Proportional to 3,786.57, 5,688.04 and 3,202.73

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Solution

The fourth proportional to 3,786.57, 5,688.04 and 3,202.73 is: 4,811.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.57 : 5,688.04 = 3,202.73 : x
  2. Step 2: Convert to fraction form
    3,786.57/5,688.04 = 3,202.73/x
  3. Step 3: Cross multiply
    3,786.57x = 5,688.04 × 3,202.73
  4. Step 4: Simplify right side
    3,786.57x = 18,217,256.35
  5. Step 5: Solve for x
    x = 18,217,256.35/3,786.57
  6. Step 6: Final answer
    x = 4,811.02

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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.