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Finding the Fourth Proportional to 3,892.56, 5,372.32 and 2,213.96

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Solution

The fourth proportional to 3,892.56, 5,372.32 and 2,213.96 is: 3,055.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.56 : 5,372.32 = 2,213.96 : x
  2. Step 2: Convert to fraction form
    3,892.56/5,372.32 = 2,213.96/x
  3. Step 3: Cross multiply
    3,892.56x = 5,372.32 × 2,213.96
  4. Step 4: Simplify right side
    3,892.56x = 11,894,101.59
  5. Step 5: Solve for x
    x = 11,894,101.59/3,892.56
  6. Step 6: Final answer
    x = 3,055.60

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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.