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Finding the Fourth Proportional to 3,816.92, 5,715.66 and 3,199.16

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Solution

The fourth proportional to 3,816.92, 5,715.66 and 3,199.16 is: 4,790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.92 : 5,715.66 = 3,199.16 : x
  2. Step 2: Convert to fraction form
    3,816.92/5,715.66 = 3,199.16/x
  3. Step 3: Cross multiply
    3,816.92x = 5,715.66 × 3,199.16
  4. Step 4: Simplify right side
    3,816.92x = 18,285,310.85
  5. Step 5: Solve for x
    x = 18,285,310.85/3,816.92
  6. Step 6: Final answer
    x = 4,790.59

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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.