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Finding the Fourth Proportional to 3,959.80, 5,464.39 and 2,191.16

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Solution

The fourth proportional to 3,959.80, 5,464.39 and 2,191.16 is: 3,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.80 : 5,464.39 = 2,191.16 : x
  2. Step 2: Convert to fraction form
    3,959.80/5,464.39 = 2,191.16/x
  3. Step 3: Cross multiply
    3,959.80x = 5,464.39 × 2,191.16
  4. Step 4: Simplify right side
    3,959.80x = 11,973,341.84
  5. Step 5: Solve for x
    x = 11,973,341.84/3,959.80
  6. Step 6: Final answer
    x = 3,023.73

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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.