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Finding the Fourth Proportional to 5,084.97, 7,016.92 and 2,846.80

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Solution

The fourth proportional to 5,084.97, 7,016.92 and 2,846.80 is: 3,928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,084.97 : 7,016.92 = 2,846.80 : x
  2. Step 2: Convert to fraction form
    5,084.97/7,016.92 = 2,846.80/x
  3. Step 3: Cross multiply
    5,084.97x = 7,016.92 × 2,846.80
  4. Step 4: Simplify right side
    5,084.97x = 19,975,767.86
  5. Step 5: Solve for x
    x = 19,975,767.86/5,084.97
  6. Step 6: Final answer
    x = 3,928.39

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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.