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Finding the Fourth Proportional to 5,199.66, 7,795.17 and 2,123.82

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Solution

The fourth proportional to 5,199.66, 7,795.17 and 2,123.82 is: 3,183.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.66 : 7,795.17 = 2,123.82 : x
  2. Step 2: Convert to fraction form
    5,199.66/7,795.17 = 2,123.82/x
  3. Step 3: Cross multiply
    5,199.66x = 7,795.17 × 2,123.82
  4. Step 4: Simplify right side
    5,199.66x = 16,555,537.95
  5. Step 5: Solve for x
    x = 16,555,537.95/5,199.66
  6. Step 6: Final answer
    x = 3,183.97

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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.