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Finding the Fourth Proportional to 5,183.50, 7,153.23 and 2,825.64

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Solution

The fourth proportional to 5,183.50, 7,153.23 and 2,825.64 is: 3,899.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.50 : 7,153.23 = 2,825.64 : x
  2. Step 2: Convert to fraction form
    5,183.50/7,153.23 = 2,825.64/x
  3. Step 3: Cross multiply
    5,183.50x = 7,153.23 × 2,825.64
  4. Step 4: Simplify right side
    5,183.50x = 20,212,452.82
  5. Step 5: Solve for x
    x = 20,212,452.82/5,183.50
  6. Step 6: Final answer
    x = 3,899.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.