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Finding the Fourth Proportional to 3,408.49, 5,112.71 and 943.29

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Solution

The fourth proportional to 3,408.49, 5,112.71 and 943.29 is: 1,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.49 : 5,112.71 = 943.29 : x
  2. Step 2: Convert to fraction form
    3,408.49/5,112.71 = 943.29/x
  3. Step 3: Cross multiply
    3,408.49x = 5,112.71 × 943.29
  4. Step 4: Simplify right side
    3,408.49x = 4,822,770.57
  5. Step 5: Solve for x
    x = 4,822,770.57/3,408.49
  6. Step 6: Final answer
    x = 1,414.93

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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.