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Finding the Fourth Proportional to 3,441, 5,161.52 and 843.94

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Solution

The fourth proportional to 3,441, 5,161.52 and 843.94 is: 1,265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441 : 5,161.52 = 843.94 : x
  2. Step 2: Convert to fraction form
    3,441/5,161.52 = 843.94/x
  3. Step 3: Cross multiply
    3,441x = 5,161.52 × 843.94
  4. Step 4: Simplify right side
    3,441x = 4,356,013.19
  5. Step 5: Solve for x
    x = 4,356,013.19/3,441
  6. Step 6: Final answer
    x = 1,265.91

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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.