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Finding the Fourth Proportional to 3,408.21, 5,111.91 and 943.38

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Solution

The fourth proportional to 3,408.21, 5,111.91 and 943.38 is: 1,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.21 : 5,111.91 = 943.38 : x
  2. Step 2: Convert to fraction form
    3,408.21/5,111.91 = 943.38/x
  3. Step 3: Cross multiply
    3,408.21x = 5,111.91 × 943.38
  4. Step 4: Simplify right side
    3,408.21x = 4,822,473.66
  5. Step 5: Solve for x
    x = 4,822,473.66/3,408.21
  6. Step 6: Final answer
    x = 1,414.96

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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.