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Finding the Fourth Proportional to 4,107.72, 6,163.56 and 2,029.20

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Solution

The fourth proportional to 4,107.72, 6,163.56 and 2,029.20 is: 3,044.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.72 : 6,163.56 = 2,029.20 : x
  2. Step 2: Convert to fraction form
    4,107.72/6,163.56 = 2,029.20/x
  3. Step 3: Cross multiply
    4,107.72x = 6,163.56 × 2,029.20
  4. Step 4: Simplify right side
    4,107.72x = 12,507,095.95
  5. Step 5: Solve for x
    x = 12,507,095.95/4,107.72
  6. Step 6: Final answer
    x = 3,044.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.