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Finding the Fourth Proportional to 5,675.99, 8,514.33 and 2,166.33

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Solution

The fourth proportional to 5,675.99, 8,514.33 and 2,166.33 is: 3,249.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.99 : 8,514.33 = 2,166.33 : x
  2. Step 2: Convert to fraction form
    5,675.99/8,514.33 = 2,166.33/x
  3. Step 3: Cross multiply
    5,675.99x = 8,514.33 × 2,166.33
  4. Step 4: Simplify right side
    5,675.99x = 18,444,863.39
  5. Step 5: Solve for x
    x = 18,444,863.39/5,675.99
  6. Step 6: Final answer
    x = 3,249.63

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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.