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Finding the Fourth Proportional to 5,190.71, 7,163.07 and 2,832.80

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Solution

The fourth proportional to 5,190.71, 7,163.07 and 2,832.80 is: 3,909.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.71 : 7,163.07 = 2,832.80 : x
  2. Step 2: Convert to fraction form
    5,190.71/7,163.07 = 2,832.80/x
  3. Step 3: Cross multiply
    5,190.71x = 7,163.07 × 2,832.80
  4. Step 4: Simplify right side
    5,190.71x = 20,291,544.70
  5. Step 5: Solve for x
    x = 20,291,544.70/5,190.71
  6. Step 6: Final answer
    x = 3,909.20

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