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Finding the Fourth Proportional to 3,469.97, 4,789.26 and 2,409.95

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Solution

The fourth proportional to 3,469.97, 4,789.26 and 2,409.95 is: 3,326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.97 : 4,789.26 = 2,409.95 : x
  2. Step 2: Convert to fraction form
    3,469.97/4,789.26 = 2,409.95/x
  3. Step 3: Cross multiply
    3,469.97x = 4,789.26 × 2,409.95
  4. Step 4: Simplify right side
    3,469.97x = 11,541,889.11
  5. Step 5: Solve for x
    x = 11,541,889.11/3,469.97
  6. Step 6: Final answer
    x = 3,326.22

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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.