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Finding the Fourth Proportional to 4,584.78, 6,324.57 and 2,813.31

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Solution

The fourth proportional to 4,584.78, 6,324.57 and 2,813.31 is: 3,880.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584.78 : 6,324.57 = 2,813.31 : x
  2. Step 2: Convert to fraction form
    4,584.78/6,324.57 = 2,813.31/x
  3. Step 3: Cross multiply
    4,584.78x = 6,324.57 × 2,813.31
  4. Step 4: Simplify right side
    4,584.78x = 17,792,976.03
  5. Step 5: Solve for x
    x = 17,792,976.03/4,584.78
  6. Step 6: Final answer
    x = 3,880.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.