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Finding the Fourth Proportional to 4,109.78, 6,163.05 and 2,379.62

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Solution

The fourth proportional to 4,109.78, 6,163.05 and 2,379.62 is: 3,568.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.78 : 6,163.05 = 2,379.62 : x
  2. Step 2: Convert to fraction form
    4,109.78/6,163.05 = 2,379.62/x
  3. Step 3: Cross multiply
    4,109.78x = 6,163.05 × 2,379.62
  4. Step 4: Simplify right side
    4,109.78x = 14,665,717.04
  5. Step 5: Solve for x
    x = 14,665,717.04/4,109.78
  6. Step 6: Final answer
    x = 3,568.49

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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.