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Finding the Fourth Proportional to 5,175.68, 7,764.73 and 2,254.82

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Solution

The fourth proportional to 5,175.68, 7,764.73 and 2,254.82 is: 3,382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.68 : 7,764.73 = 2,254.82 : x
  2. Step 2: Convert to fraction form
    5,175.68/7,764.73 = 2,254.82/x
  3. Step 3: Cross multiply
    5,175.68x = 7,764.73 × 2,254.82
  4. Step 4: Simplify right side
    5,175.68x = 17,508,067.71
  5. Step 5: Solve for x
    x = 17,508,067.71/5,175.68
  6. Step 6: Final answer
    x = 3,382.76

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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.