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Finding the Fourth Proportional to 3,878.62, 5,825.39 and 3,324.58

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Solution

The fourth proportional to 3,878.62, 5,825.39 and 3,324.58 is: 4,993.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.62 : 5,825.39 = 3,324.58 : x
  2. Step 2: Convert to fraction form
    3,878.62/5,825.39 = 3,324.58/x
  3. Step 3: Cross multiply
    3,878.62x = 5,825.39 × 3,324.58
  4. Step 4: Simplify right side
    3,878.62x = 19,366,975.09
  5. Step 5: Solve for x
    x = 19,366,975.09/3,878.62
  6. Step 6: Final answer
    x = 4,993.26

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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.