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Finding the Fourth Proportional to 4,107.82, 6,162.87 and 1,766.66

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Solution

The fourth proportional to 4,107.82, 6,162.87 and 1,766.66 is: 2,650.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.82 : 6,162.87 = 1,766.66 : x
  2. Step 2: Convert to fraction form
    4,107.82/6,162.87 = 1,766.66/x
  3. Step 3: Cross multiply
    4,107.82x = 6,162.87 × 1,766.66
  4. Step 4: Simplify right side
    4,107.82x = 10,887,695.91
  5. Step 5: Solve for x
    x = 10,887,695.91/4,107.82
  6. Step 6: Final answer
    x = 2,650.48

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Why These Related Problems?

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