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Finding the Fourth Proportional to 3,441.43, 5,162.16 and 844.39

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Solution

The fourth proportional to 3,441.43, 5,162.16 and 844.39 is: 1,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.43 : 5,162.16 = 844.39 : x
  2. Step 2: Convert to fraction form
    3,441.43/5,162.16 = 844.39/x
  3. Step 3: Cross multiply
    3,441.43x = 5,162.16 × 844.39
  4. Step 4: Simplify right side
    3,441.43x = 4,358,876.28
  5. Step 5: Solve for x
    x = 4,358,876.28/3,441.43
  6. Step 6: Final answer
    x = 1,266.59

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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.