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Finding the Fourth Proportional to 3,892.35, 5,371.41 and 2,213.75

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Solution

The fourth proportional to 3,892.35, 5,371.41 and 2,213.75 is: 3,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.35 : 5,371.41 = 2,213.75 : x
  2. Step 2: Convert to fraction form
    3,892.35/5,371.41 = 2,213.75/x
  3. Step 3: Cross multiply
    3,892.35x = 5,371.41 × 2,213.75
  4. Step 4: Simplify right side
    3,892.35x = 11,890,968.17
  5. Step 5: Solve for x
    x = 11,890,968.17/3,892.35
  6. Step 6: Final answer
    x = 3,054.96

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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.