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Finding the Fourth Proportional to 3,869.44, 5,805.60 and 1,816

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Solution

The fourth proportional to 3,869.44, 5,805.60 and 1,816 is: 2,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.44 : 5,805.60 = 1,816 : x
  2. Step 2: Convert to fraction form
    3,869.44/5,805.60 = 1,816/x
  3. Step 3: Cross multiply
    3,869.44x = 5,805.60 × 1,816
  4. Step 4: Simplify right side
    3,869.44x = 10,542,969.60
  5. Step 5: Solve for x
    x = 10,542,969.60/3,869.44
  6. Step 6: Final answer
    x = 2,724.68

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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.