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Finding the Fourth Proportional to 3,828.76, 5,287.38 and 3,299.74

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Solution

The fourth proportional to 3,828.76, 5,287.38 and 3,299.74 is: 4,556.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.76 : 5,287.38 = 3,299.74 : x
  2. Step 2: Convert to fraction form
    3,828.76/5,287.38 = 3,299.74/x
  3. Step 3: Cross multiply
    3,828.76x = 5,287.38 × 3,299.74
  4. Step 4: Simplify right side
    3,828.76x = 17,446,979.28
  5. Step 5: Solve for x
    x = 17,446,979.28/3,828.76
  6. Step 6: Final answer
    x = 4,556.82

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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.