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Finding the Fourth Proportional to 5,675.97, 8,512.65 and 2,166.39

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Solution

The fourth proportional to 5,675.97, 8,512.65 and 2,166.39 is: 3,249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.97 : 8,512.65 = 2,166.39 : x
  2. Step 2: Convert to fraction form
    5,675.97/8,512.65 = 2,166.39/x
  3. Step 3: Cross multiply
    5,675.97x = 8,512.65 × 2,166.39
  4. Step 4: Simplify right side
    5,675.97x = 18,441,719.83
  5. Step 5: Solve for x
    x = 18,441,719.83/5,675.97
  6. Step 6: Final answer
    x = 3,249.09

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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.