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Finding the Fourth Proportional to 3,462.67, 5,195.82 and 2,078.79

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Solution

The fourth proportional to 3,462.67, 5,195.82 and 2,078.79 is: 3,119.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.67 : 5,195.82 = 2,078.79 : x
  2. Step 2: Convert to fraction form
    3,462.67/5,195.82 = 2,078.79/x
  3. Step 3: Cross multiply
    3,462.67x = 5,195.82 × 2,078.79
  4. Step 4: Simplify right side
    3,462.67x = 10,801,018.66
  5. Step 5: Solve for x
    x = 10,801,018.66/3,462.67
  6. Step 6: Final answer
    x = 3,119.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.