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Finding the Fourth Proportional to 5,682.54, 8,512.65 and 3,209.82

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Solution

The fourth proportional to 5,682.54, 8,512.65 and 3,209.82 is: 4,808.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.54 : 8,512.65 = 3,209.82 : x
  2. Step 2: Convert to fraction form
    5,682.54/8,512.65 = 3,209.82/x
  3. Step 3: Cross multiply
    5,682.54x = 8,512.65 × 3,209.82
  4. Step 4: Simplify right side
    5,682.54x = 27,324,074.22
  5. Step 5: Solve for x
    x = 27,324,074.22/5,682.54
  6. Step 6: Final answer
    x = 4,808.43

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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.