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Finding the Fourth Proportional to 3,892.89, 5,372.31 and 2,214.54

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Solution

The fourth proportional to 3,892.89, 5,372.31 and 2,214.54 is: 3,056.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.89 : 5,372.31 = 2,214.54 : x
  2. Step 2: Convert to fraction form
    3,892.89/5,372.31 = 2,214.54/x
  3. Step 3: Cross multiply
    3,892.89x = 5,372.31 × 2,214.54
  4. Step 4: Simplify right side
    3,892.89x = 11,897,157.45
  5. Step 5: Solve for x
    x = 11,897,157.45/3,892.89
  6. Step 6: Final answer
    x = 3,056.12

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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.