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Finding the Fourth Proportional to 5,183.52, 7,769.21 and 2,552.24

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Solution

The fourth proportional to 5,183.52, 7,769.21 and 2,552.24 is: 3,825.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.52 : 7,769.21 = 2,552.24 : x
  2. Step 2: Convert to fraction form
    5,183.52/7,769.21 = 2,552.24/x
  3. Step 3: Cross multiply
    5,183.52x = 7,769.21 × 2,552.24
  4. Step 4: Simplify right side
    5,183.52x = 19,828,836.92
  5. Step 5: Solve for x
    x = 19,828,836.92/5,183.52
  6. Step 6: Final answer
    x = 3,825.36

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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.