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Finding the Fourth Proportional to 5,530.08, 8,295.90 and 2,067

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Solution

The fourth proportional to 5,530.08, 8,295.90 and 2,067 is: 3,100.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.08 : 8,295.90 = 2,067 : x
  2. Step 2: Convert to fraction form
    5,530.08/8,295.90 = 2,067/x
  3. Step 3: Cross multiply
    5,530.08x = 8,295.90 × 2,067
  4. Step 4: Simplify right side
    5,530.08x = 17,147,625.30
  5. Step 5: Solve for x
    x = 17,147,625.30/5,530.08
  6. Step 6: Final answer
    x = 3,100.79

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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.