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Finding the Fourth Proportional to 5,172.77, 7,138.22 and 2,814.86

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Solution

The fourth proportional to 5,172.77, 7,138.22 and 2,814.86 is: 3,884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.77 : 7,138.22 = 2,814.86 : x
  2. Step 2: Convert to fraction form
    5,172.77/7,138.22 = 2,814.86/x
  3. Step 3: Cross multiply
    5,172.77x = 7,138.22 × 2,814.86
  4. Step 4: Simplify right side
    5,172.77x = 20,093,040.18
  5. Step 5: Solve for x
    x = 20,093,040.18/5,172.77
  6. Step 6: Final answer
    x = 3,884.39

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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.