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Finding the Fourth Proportional to 5,662.72, 8,487.60 and 2,197

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Solution

The fourth proportional to 5,662.72, 8,487.60 and 2,197 is: 3,292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.72 : 8,487.60 = 2,197 : x
  2. Step 2: Convert to fraction form
    5,662.72/8,487.60 = 2,197/x
  3. Step 3: Cross multiply
    5,662.72x = 8,487.60 × 2,197
  4. Step 4: Simplify right side
    5,662.72x = 18,647,257.20
  5. Step 5: Solve for x
    x = 18,647,257.20/5,662.72
  6. Step 6: Final answer
    x = 3,292.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.