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Finding the Fourth Proportional to 5,268, 7,906.78 and 2,804.88

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Solution

The fourth proportional to 5,268, 7,906.78 and 2,804.88 is: 4,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268 : 7,906.78 = 2,804.88 : x
  2. Step 2: Convert to fraction form
    5,268/7,906.78 = 2,804.88/x
  3. Step 3: Cross multiply
    5,268x = 7,906.78 × 2,804.88
  4. Step 4: Simplify right side
    5,268x = 22,177,569.09
  5. Step 5: Solve for x
    x = 22,177,569.09/5,268
  6. Step 6: Final answer
    x = 4,209.87

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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.