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Finding the Fourth Proportional to 3,816.72, 5,265.81 and 2,324.16

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Solution

The fourth proportional to 3,816.72, 5,265.81 and 2,324.16 is: 3,206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.72 : 5,265.81 = 2,324.16 : x
  2. Step 2: Convert to fraction form
    3,816.72/5,265.81 = 2,324.16/x
  3. Step 3: Cross multiply
    3,816.72x = 5,265.81 × 2,324.16
  4. Step 4: Simplify right side
    3,816.72x = 12,238,584.97
  5. Step 5: Solve for x
    x = 12,238,584.97/3,816.72
  6. Step 6: Final answer
    x = 3,206.57

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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.