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Finding the Fourth Proportional to 3,816.73, 5,712.12 and 3,201.13

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Solution

The fourth proportional to 3,816.73, 5,712.12 and 3,201.13 is: 4,790.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.73 : 5,712.12 = 3,201.13 : x
  2. Step 2: Convert to fraction form
    3,816.73/5,712.12 = 3,201.13/x
  3. Step 3: Cross multiply
    3,816.73x = 5,712.12 × 3,201.13
  4. Step 4: Simplify right side
    3,816.73x = 18,285,238.70
  5. Step 5: Solve for x
    x = 18,285,238.70/3,816.73
  6. Step 6: Final answer
    x = 4,790.81

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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.