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Finding the Fourth Proportional to 3,959.72, 5,464.17 and 2,191.22

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Solution

The fourth proportional to 3,959.72, 5,464.17 and 2,191.22 is: 3,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.72 : 5,464.17 = 2,191.22 : x
  2. Step 2: Convert to fraction form
    3,959.72/5,464.17 = 2,191.22/x
  3. Step 3: Cross multiply
    3,959.72x = 5,464.17 × 2,191.22
  4. Step 4: Simplify right side
    3,959.72x = 11,973,171.27
  5. Step 5: Solve for x
    x = 11,973,171.27/3,959.72
  6. Step 6: Final answer
    x = 3,023.75

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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.