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Finding the Fourth Proportional to 5,172.71, 7,138.26 and 2,814.80

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Solution

The fourth proportional to 5,172.71, 7,138.26 and 2,814.80 is: 3,884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.71 : 7,138.26 = 2,814.80 : x
  2. Step 2: Convert to fraction form
    5,172.71/7,138.26 = 2,814.80/x
  3. Step 3: Cross multiply
    5,172.71x = 7,138.26 × 2,814.80
  4. Step 4: Simplify right side
    5,172.71x = 20,092,738.56
  5. Step 5: Solve for x
    x = 20,092,738.56/5,172.71
  6. Step 6: Final answer
    x = 3,884.38

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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.