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Finding the Fourth Proportional to 3,932.17, 5,426.17 and 2,163.44

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Solution

The fourth proportional to 3,932.17, 5,426.17 and 2,163.44 is: 2,985.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.17 : 5,426.17 = 2,163.44 : x
  2. Step 2: Convert to fraction form
    3,932.17/5,426.17 = 2,163.44/x
  3. Step 3: Cross multiply
    3,932.17x = 5,426.17 × 2,163.44
  4. Step 4: Simplify right side
    3,932.17x = 11,739,193.22
  5. Step 5: Solve for x
    x = 11,739,193.22/3,932.17
  6. Step 6: Final answer
    x = 2,985.42

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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.