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Finding the Fourth Proportional to 3,287.16, 4,932.09 and 2,668.41

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Solution

The fourth proportional to 3,287.16, 4,932.09 and 2,668.41 is: 4,003.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.16 : 4,932.09 = 2,668.41 : x
  2. Step 2: Convert to fraction form
    3,287.16/4,932.09 = 2,668.41/x
  3. Step 3: Cross multiply
    3,287.16x = 4,932.09 × 2,668.41
  4. Step 4: Simplify right side
    3,287.16x = 13,160,838.28
  5. Step 5: Solve for x
    x = 13,160,838.28/3,287.16
  6. Step 6: Final answer
    x = 4,003.71

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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.