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Finding the Fourth Proportional to 3,959.96, 5,464.85 and 2,191.64

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Solution

The fourth proportional to 3,959.96, 5,464.85 and 2,191.64 is: 3,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.96 : 5,464.85 = 2,191.64 : x
  2. Step 2: Convert to fraction form
    3,959.96/5,464.85 = 2,191.64/x
  3. Step 3: Cross multiply
    3,959.96x = 5,464.85 × 2,191.64
  4. Step 4: Simplify right side
    3,959.96x = 11,976,945.57
  5. Step 5: Solve for x
    x = 11,976,945.57/3,959.96
  6. Step 6: Final answer
    x = 3,024.52

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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.