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Finding the Fourth Proportional to 3,824.70, 5,737.05 and 3,198.30

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Solution

The fourth proportional to 3,824.70, 5,737.05 and 3,198.30 is: 4,797.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.70 : 5,737.05 = 3,198.30 : x
  2. Step 2: Convert to fraction form
    3,824.70/5,737.05 = 3,198.30/x
  3. Step 3: Cross multiply
    3,824.70x = 5,737.05 × 3,198.30
  4. Step 4: Simplify right side
    3,824.70x = 18,348,807.02
  5. Step 5: Solve for x
    x = 18,348,807.02/3,824.70
  6. Step 6: Final answer
    x = 4,797.45

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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.