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Finding the Fourth Proportional to 3,791.36, 5,683.32 and 1,816.43

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Solution

The fourth proportional to 3,791.36, 5,683.32 and 1,816.43 is: 2,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.36 : 5,683.32 = 1,816.43 : x
  2. Step 2: Convert to fraction form
    3,791.36/5,683.32 = 1,816.43/x
  3. Step 3: Cross multiply
    3,791.36x = 5,683.32 × 1,816.43
  4. Step 4: Simplify right side
    3,791.36x = 10,323,324.53
  5. Step 5: Solve for x
    x = 10,323,324.53/3,791.36
  6. Step 6: Final answer
    x = 2,722.86

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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.