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Finding the Fourth Proportional to 5,067.54, 7,601.75 and 1,369.75

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Solution

The fourth proportional to 5,067.54, 7,601.75 and 1,369.75 is: 2,054.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067.54 : 7,601.75 = 1,369.75 : x
  2. Step 2: Convert to fraction form
    5,067.54/7,601.75 = 1,369.75/x
  3. Step 3: Cross multiply
    5,067.54x = 7,601.75 × 1,369.75
  4. Step 4: Simplify right side
    5,067.54x = 10,412,497.06
  5. Step 5: Solve for x
    x = 10,412,497.06/5,067.54
  6. Step 6: Final answer
    x = 2,054.74

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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.