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Finding the Fourth Proportional to 5,862.15, 8,786.84 and 2,161.26

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Solution

The fourth proportional to 5,862.15, 8,786.84 and 2,161.26 is: 3,239.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.15 : 8,786.84 = 2,161.26 : x
  2. Step 2: Convert to fraction form
    5,862.15/8,786.84 = 2,161.26/x
  3. Step 3: Cross multiply
    5,862.15x = 8,786.84 × 2,161.26
  4. Step 4: Simplify right side
    5,862.15x = 18,990,645.82
  5. Step 5: Solve for x
    x = 18,990,645.82/5,862.15
  6. Step 6: Final answer
    x = 3,239.54

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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.