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Finding the Fourth Proportional to 5,198, 7,173.24 and 2,840.16

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Solution

The fourth proportional to 5,198, 7,173.24 and 2,840.16 is: 3,919.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198 : 7,173.24 = 2,840.16 : x
  2. Step 2: Convert to fraction form
    5,198/7,173.24 = 2,840.16/x
  3. Step 3: Cross multiply
    5,198x = 7,173.24 × 2,840.16
  4. Step 4: Simplify right side
    5,198x = 20,373,131.39
  5. Step 5: Solve for x
    x = 20,373,131.39/5,198
  6. Step 6: Final answer
    x = 3,919.42

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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.