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Finding the Fourth Proportional to 4,923.96, 6,794.79 and 2,828.09

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Solution

The fourth proportional to 4,923.96, 6,794.79 and 2,828.09 is: 3,902.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.96 : 6,794.79 = 2,828.09 : x
  2. Step 2: Convert to fraction form
    4,923.96/6,794.79 = 2,828.09/x
  3. Step 3: Cross multiply
    4,923.96x = 6,794.79 × 2,828.09
  4. Step 4: Simplify right side
    4,923.96x = 19,216,243.68
  5. Step 5: Solve for x
    x = 19,216,243.68/4,923.96
  6. Step 6: Final answer
    x = 3,902.60

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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.