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Finding the Fourth Proportional to 3,796.26, 5,694.99 and 1,605.61

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Solution

The fourth proportional to 3,796.26, 5,694.99 and 1,605.61 is: 2,408.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.26 : 5,694.99 = 1,605.61 : x
  2. Step 2: Convert to fraction form
    3,796.26/5,694.99 = 1,605.61/x
  3. Step 3: Cross multiply
    3,796.26x = 5,694.99 × 1,605.61
  4. Step 4: Simplify right side
    3,796.26x = 9,143,932.89
  5. Step 5: Solve for x
    x = 9,143,932.89/3,796.26
  6. Step 6: Final answer
    x = 2,408.67

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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.