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Finding the Fourth Proportional to 3,832.17, 5,738.49 and 3,511.41

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Solution

The fourth proportional to 3,832.17, 5,738.49 and 3,511.41 is: 5,258.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.17 : 5,738.49 = 3,511.41 : x
  2. Step 2: Convert to fraction form
    3,832.17/5,738.49 = 3,511.41/x
  3. Step 3: Cross multiply
    3,832.17x = 5,738.49 × 3,511.41
  4. Step 4: Simplify right side
    3,832.17x = 20,150,191.17
  5. Step 5: Solve for x
    x = 20,150,191.17/3,832.17
  6. Step 6: Final answer
    x = 5,258.17

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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.