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Finding the Fourth Proportional to 3,821.60, 5,729.52 and 1,872.56

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Solution

The fourth proportional to 3,821.60, 5,729.52 and 1,872.56 is: 2,807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.60 : 5,729.52 = 1,872.56 : x
  2. Step 2: Convert to fraction form
    3,821.60/5,729.52 = 1,872.56/x
  3. Step 3: Cross multiply
    3,821.60x = 5,729.52 × 1,872.56
  4. Step 4: Simplify right side
    3,821.60x = 10,728,869.97
  5. Step 5: Solve for x
    x = 10,728,869.97/3,821.60
  6. Step 6: Final answer
    x = 2,807.43

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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.