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Finding the Fourth Proportional to 3,812.69, 5,717.75 and 1,279.27

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Solution

The fourth proportional to 3,812.69, 5,717.75 and 1,279.27 is: 1,918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.69 : 5,717.75 = 1,279.27 : x
  2. Step 2: Convert to fraction form
    3,812.69/5,717.75 = 1,279.27/x
  3. Step 3: Cross multiply
    3,812.69x = 5,717.75 × 1,279.27
  4. Step 4: Simplify right side
    3,812.69x = 7,314,546.04
  5. Step 5: Solve for x
    x = 7,314,546.04/3,812.69
  6. Step 6: Final answer
    x = 1,918.47

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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.