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Finding the Fourth Proportional to 3,578.97, 5,369.32 and 1,497.82

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Solution

The fourth proportional to 3,578.97, 5,369.32 and 1,497.82 is: 2,247.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.97 : 5,369.32 = 1,497.82 : x
  2. Step 2: Convert to fraction form
    3,578.97/5,369.32 = 1,497.82/x
  3. Step 3: Cross multiply
    3,578.97x = 5,369.32 × 1,497.82
  4. Step 4: Simplify right side
    3,578.97x = 8,042,274.88
  5. Step 5: Solve for x
    x = 8,042,274.88/3,578.97
  6. Step 6: Final answer
    x = 2,247.09

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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.