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Finding the Fourth Proportional to 4,222.80, 6,334.20 and 4,149.90

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Solution

The fourth proportional to 4,222.80, 6,334.20 and 4,149.90 is: 6,224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.80 : 6,334.20 = 4,149.90 : x
  2. Step 2: Convert to fraction form
    4,222.80/6,334.20 = 4,149.90/x
  3. Step 3: Cross multiply
    4,222.80x = 6,334.20 × 4,149.90
  4. Step 4: Simplify right side
    4,222.80x = 26,286,296.58
  5. Step 5: Solve for x
    x = 26,286,296.58/4,222.80
  6. Step 6: Final answer
    x = 6,224.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.