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Finding the Fourth Proportional to 3,408.38, 5,112.57 and 943.39

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Solution

The fourth proportional to 3,408.38, 5,112.57 and 943.39 is: 1,415.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.38 : 5,112.57 = 943.39 : x
  2. Step 2: Convert to fraction form
    3,408.38/5,112.57 = 943.39/x
  3. Step 3: Cross multiply
    3,408.38x = 5,112.57 × 943.39
  4. Step 4: Simplify right side
    3,408.38x = 4,823,117.13
  5. Step 5: Solve for x
    x = 4,823,117.13/3,408.38
  6. Step 6: Final answer
    x = 1,415.08

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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.