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Finding the Fourth Proportional to 3,772.56, 5,660.52 and 1,464.24

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Solution

The fourth proportional to 3,772.56, 5,660.52 and 1,464.24 is: 2,197.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.56 : 5,660.52 = 1,464.24 : x
  2. Step 2: Convert to fraction form
    3,772.56/5,660.52 = 1,464.24/x
  3. Step 3: Cross multiply
    3,772.56x = 5,660.52 × 1,464.24
  4. Step 4: Simplify right side
    3,772.56x = 8,288,359.80
  5. Step 5: Solve for x
    x = 8,288,359.80/3,772.56
  6. Step 6: Final answer
    x = 2,197.01

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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.