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Finding the Fourth Proportional to 3,206.44, 4,415.01 and 2,733.27

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Solution

The fourth proportional to 3,206.44, 4,415.01 and 2,733.27 is: 3,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.44 : 4,415.01 = 2,733.27 : x
  2. Step 2: Convert to fraction form
    3,206.44/4,415.01 = 2,733.27/x
  3. Step 3: Cross multiply
    3,206.44x = 4,415.01 × 2,733.27
  4. Step 4: Simplify right side
    3,206.44x = 12,067,414.38
  5. Step 5: Solve for x
    x = 12,067,414.38/3,206.44
  6. Step 6: Final answer
    x = 3,763.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.