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Finding the Fourth Proportional to 5,192.73, 7,788.78 and 1,729.98

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Solution

The fourth proportional to 5,192.73, 7,788.78 and 1,729.98 is: 2,594.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.73 : 7,788.78 = 1,729.98 : x
  2. Step 2: Convert to fraction form
    5,192.73/7,788.78 = 1,729.98/x
  3. Step 3: Cross multiply
    5,192.73x = 7,788.78 × 1,729.98
  4. Step 4: Simplify right side
    5,192.73x = 13,474,433.62
  5. Step 5: Solve for x
    x = 13,474,433.62/5,192.73
  6. Step 6: Final answer
    x = 2,594.87

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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.