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Finding the Fourth Proportional to 3,816.42, 5,723.60 and 3,200.42

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Solution

The fourth proportional to 3,816.42, 5,723.60 and 3,200.42 is: 4,799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.42 : 5,723.60 = 3,200.42 : x
  2. Step 2: Convert to fraction form
    3,816.42/5,723.60 = 3,200.42/x
  3. Step 3: Cross multiply
    3,816.42x = 5,723.60 × 3,200.42
  4. Step 4: Simplify right side
    3,816.42x = 18,317,879.29
  5. Step 5: Solve for x
    x = 18,317,879.29/3,816.42
  6. Step 6: Final answer
    x = 4,799.75

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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.