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Finding the Fourth Proportional to 3,892.39, 5,371.50 and 2,775.27

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Solution

The fourth proportional to 3,892.39, 5,371.50 and 2,775.27 is: 3,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.39 : 5,371.50 = 2,775.27 : x
  2. Step 2: Convert to fraction form
    3,892.39/5,371.50 = 2,775.27/x
  3. Step 3: Cross multiply
    3,892.39x = 5,371.50 × 2,775.27
  4. Step 4: Simplify right side
    3,892.39x = 14,907,380.72
  5. Step 5: Solve for x
    x = 14,907,380.72/3,892.39
  6. Step 6: Final answer
    x = 3,829.88

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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.