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Finding the Fourth Proportional to 3,864.26, 5,796.40 and 1,812.26

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Solution

The fourth proportional to 3,864.26, 5,796.40 and 1,812.26 is: 2,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.26 : 5,796.40 = 1,812.26 : x
  2. Step 2: Convert to fraction form
    3,864.26/5,796.40 = 1,812.26/x
  3. Step 3: Cross multiply
    3,864.26x = 5,796.40 × 1,812.26
  4. Step 4: Simplify right side
    3,864.26x = 10,504,583.86
  5. Step 5: Solve for x
    x = 10,504,583.86/3,864.26
  6. Step 6: Final answer
    x = 2,718.39

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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.