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Finding the Fourth Proportional to 4,923.75, 6,794.78 and 2,828.28

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Solution

The fourth proportional to 4,923.75, 6,794.78 and 2,828.28 is: 3,903.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.75 : 6,794.78 = 2,828.28 : x
  2. Step 2: Convert to fraction form
    4,923.75/6,794.78 = 2,828.28/x
  3. Step 3: Cross multiply
    4,923.75x = 6,794.78 × 2,828.28
  4. Step 4: Simplify right side
    4,923.75x = 19,217,540.38
  5. Step 5: Solve for x
    x = 19,217,540.38/4,923.75
  6. Step 6: Final answer
    x = 3,903.03

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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.