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Finding the Fourth Proportional to 3,441.22, 5,161.84 and 844.14

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Solution

The fourth proportional to 3,441.22, 5,161.84 and 844.14 is: 1,266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.22 : 5,161.84 = 844.14 : x
  2. Step 2: Convert to fraction form
    3,441.22/5,161.84 = 844.14/x
  3. Step 3: Cross multiply
    3,441.22x = 5,161.84 × 844.14
  4. Step 4: Simplify right side
    3,441.22x = 4,357,315.62
  5. Step 5: Solve for x
    x = 4,357,315.62/3,441.22
  6. Step 6: Final answer
    x = 1,266.21

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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.