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Finding the Fourth Proportional to 4,662.62, 6,990.49 and 2,196.09

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Solution

The fourth proportional to 4,662.62, 6,990.49 and 2,196.09 is: 3,292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.62 : 6,990.49 = 2,196.09 : x
  2. Step 2: Convert to fraction form
    4,662.62/6,990.49 = 2,196.09/x
  3. Step 3: Cross multiply
    4,662.62x = 6,990.49 × 2,196.09
  4. Step 4: Simplify right side
    4,662.62x = 15,351,745.18
  5. Step 5: Solve for x
    x = 15,351,745.18/4,662.62
  6. Step 6: Final answer
    x = 3,292.51

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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.