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Finding the Fourth Proportional to 3,816.06, 5,269.14 and 3,067.62

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Solution

The fourth proportional to 3,816.06, 5,269.14 and 3,067.62 is: 4,235.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.06 : 5,269.14 = 3,067.62 : x
  2. Step 2: Convert to fraction form
    3,816.06/5,269.14 = 3,067.62/x
  3. Step 3: Cross multiply
    3,816.06x = 5,269.14 × 3,067.62
  4. Step 4: Simplify right side
    3,816.06x = 16,163,719.25
  5. Step 5: Solve for x
    x = 16,163,719.25/3,816.06
  6. Step 6: Final answer
    x = 4,235.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.