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Finding the Fourth Proportional to 5,197.68, 7,173.09 and 2,839.86

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Solution

The fourth proportional to 5,197.68, 7,173.09 and 2,839.86 is: 3,919.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.68 : 7,173.09 = 2,839.86 : x
  2. Step 2: Convert to fraction form
    5,197.68/7,173.09 = 2,839.86/x
  3. Step 3: Cross multiply
    5,197.68x = 7,173.09 × 2,839.86
  4. Step 4: Simplify right side
    5,197.68x = 20,370,571.37
  5. Step 5: Solve for x
    x = 20,370,571.37/5,197.68
  6. Step 6: Final answer
    x = 3,919.17

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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.