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Finding the Fourth Proportional to 3,774.33, 5,211.68 and 2,450.25

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Solution

The fourth proportional to 3,774.33, 5,211.68 and 2,450.25 is: 3,383.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.33 : 5,211.68 = 2,450.25 : x
  2. Step 2: Convert to fraction form
    3,774.33/5,211.68 = 2,450.25/x
  3. Step 3: Cross multiply
    3,774.33x = 5,211.68 × 2,450.25
  4. Step 4: Simplify right side
    3,774.33x = 12,769,906.67
  5. Step 5: Solve for x
    x = 12,769,906.67/3,774.33
  6. Step 6: Final answer
    x = 3,383.36

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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.