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Finding the Fourth Proportional to 4,229.20, 6,343.80 and 2,846.80

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Solution

The fourth proportional to 4,229.20, 6,343.80 and 2,846.80 is: 4,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.20 : 6,343.80 = 2,846.80 : x
  2. Step 2: Convert to fraction form
    4,229.20/6,343.80 = 2,846.80/x
  3. Step 3: Cross multiply
    4,229.20x = 6,343.80 × 2,846.80
  4. Step 4: Simplify right side
    4,229.20x = 18,059,529.84
  5. Step 5: Solve for x
    x = 18,059,529.84/4,229.20
  6. Step 6: Final answer
    x = 4,270.20

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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.