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Finding the Fourth Proportional to 3,816.79, 5,727.75 and 1,351.60

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Solution

The fourth proportional to 3,816.79, 5,727.75 and 1,351.60 is: 2,028.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.79 : 5,727.75 = 1,351.60 : x
  2. Step 2: Convert to fraction form
    3,816.79/5,727.75 = 1,351.60/x
  3. Step 3: Cross multiply
    3,816.79x = 5,727.75 × 1,351.60
  4. Step 4: Simplify right side
    3,816.79x = 7,741,626.90
  5. Step 5: Solve for x
    x = 7,741,626.90/3,816.79
  6. Step 6: Final answer
    x = 2,028.31

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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.