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Finding the Fourth Proportional to 3,849.22, 5,311.90 and 2,080.82

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Solution

The fourth proportional to 3,849.22, 5,311.90 and 2,080.82 is: 2,871.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.22 : 5,311.90 = 2,080.82 : x
  2. Step 2: Convert to fraction form
    3,849.22/5,311.90 = 2,080.82/x
  3. Step 3: Cross multiply
    3,849.22x = 5,311.90 × 2,080.82
  4. Step 4: Simplify right side
    3,849.22x = 11,053,107.76
  5. Step 5: Solve for x
    x = 11,053,107.76/3,849.22
  6. Step 6: Final answer
    x = 2,871.52

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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.