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Finding the Fourth Proportional to 3,684.96, 5,511.24 and 3,205.44

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Solution

The fourth proportional to 3,684.96, 5,511.24 and 3,205.44 is: 4,794.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.96 : 5,511.24 = 3,205.44 : x
  2. Step 2: Convert to fraction form
    3,684.96/5,511.24 = 3,205.44/x
  3. Step 3: Cross multiply
    3,684.96x = 5,511.24 × 3,205.44
  4. Step 4: Simplify right side
    3,684.96x = 17,665,949.15
  5. Step 5: Solve for x
    x = 17,665,949.15/3,684.96
  6. Step 6: Final answer
    x = 4,794.07

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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.