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Finding the Fourth Proportional to 5,666.72, 8,500.56 and 2,204

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Solution

The fourth proportional to 5,666.72, 8,500.56 and 2,204 is: 3,306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.72 : 8,500.56 = 2,204 : x
  2. Step 2: Convert to fraction form
    5,666.72/8,500.56 = 2,204/x
  3. Step 3: Cross multiply
    5,666.72x = 8,500.56 × 2,204
  4. Step 4: Simplify right side
    5,666.72x = 18,735,234.24
  5. Step 5: Solve for x
    x = 18,735,234.24/5,666.72
  6. Step 6: Final answer
    x = 3,306.19

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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.