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Finding the Fourth Proportional to 3,408.45, 5,112.84 and 943.22

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Solution

The fourth proportional to 3,408.45, 5,112.84 and 943.22 is: 1,414.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.45 : 5,112.84 = 943.22 : x
  2. Step 2: Convert to fraction form
    3,408.45/5,112.84 = 943.22/x
  3. Step 3: Cross multiply
    3,408.45x = 5,112.84 × 943.22
  4. Step 4: Simplify right side
    3,408.45x = 4,822,507.38
  5. Step 5: Solve for x
    x = 4,822,507.38/3,408.45
  6. Step 6: Final answer
    x = 1,414.87

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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.