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Finding the Fourth Proportional to 2,964.88, 4,469.83 and 2,806.12

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Solution

The fourth proportional to 2,964.88, 4,469.83 and 2,806.12 is: 4,230.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.88 : 4,469.83 = 2,806.12 : x
  2. Step 2: Convert to fraction form
    2,964.88/4,469.83 = 2,806.12/x
  3. Step 3: Cross multiply
    2,964.88x = 4,469.83 × 2,806.12
  4. Step 4: Simplify right side
    2,964.88x = 12,542,879.36
  5. Step 5: Solve for x
    x = 12,542,879.36/2,964.88
  6. Step 6: Final answer
    x = 4,230.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.