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Finding the Fourth Proportional to 3,932.22, 5,426.56 and 2,163.94

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Solution

The fourth proportional to 3,932.22, 5,426.56 and 2,163.94 is: 2,986.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.22 : 5,426.56 = 2,163.94 : x
  2. Step 2: Convert to fraction form
    3,932.22/5,426.56 = 2,163.94/x
  3. Step 3: Cross multiply
    3,932.22x = 5,426.56 × 2,163.94
  4. Step 4: Simplify right side
    3,932.22x = 11,742,750.25
  5. Step 5: Solve for x
    x = 11,742,750.25/3,932.22
  6. Step 6: Final answer
    x = 2,986.29

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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.