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Finding the Fourth Proportional to 3,778.14, 5,213.82 and 2,122.14

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Solution

The fourth proportional to 3,778.14, 5,213.82 and 2,122.14 is: 2,928.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.14 : 5,213.82 = 2,122.14 : x
  2. Step 2: Convert to fraction form
    3,778.14/5,213.82 = 2,122.14/x
  3. Step 3: Cross multiply
    3,778.14x = 5,213.82 × 2,122.14
  4. Step 4: Simplify right side
    3,778.14x = 11,064,455.97
  5. Step 5: Solve for x
    x = 11,064,455.97/3,778.14
  6. Step 6: Final answer
    x = 2,928.55

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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.