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Finding the Fourth Proportional to 3,496.22, 5,247.57 and 1,766.06

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Solution

The fourth proportional to 3,496.22, 5,247.57 and 1,766.06 is: 2,650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.22 : 5,247.57 = 1,766.06 : x
  2. Step 2: Convert to fraction form
    3,496.22/5,247.57 = 1,766.06/x
  3. Step 3: Cross multiply
    3,496.22x = 5,247.57 × 1,766.06
  4. Step 4: Simplify right side
    3,496.22x = 9,267,523.47
  5. Step 5: Solve for x
    x = 9,267,523.47/3,496.22
  6. Step 6: Final answer
    x = 2,650.73

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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.