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Finding the Fourth Proportional to 3,850.98, 5,314.04 and 2,172.82

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Solution

The fourth proportional to 3,850.98, 5,314.04 and 2,172.82 is: 2,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.98 : 5,314.04 = 2,172.82 : x
  2. Step 2: Convert to fraction form
    3,850.98/5,314.04 = 2,172.82/x
  3. Step 3: Cross multiply
    3,850.98x = 5,314.04 × 2,172.82
  4. Step 4: Simplify right side
    3,850.98x = 11,546,452.39
  5. Step 5: Solve for x
    x = 11,546,452.39/3,850.98
  6. Step 6: Final answer
    x = 2,998.32

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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.