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Finding the Fourth Proportional to 3,578.01, 5,369.11 and 1,497.84

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Solution

The fourth proportional to 3,578.01, 5,369.11 and 1,497.84 is: 2,247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.01 : 5,369.11 = 1,497.84 : x
  2. Step 2: Convert to fraction form
    3,578.01/5,369.11 = 1,497.84/x
  3. Step 3: Cross multiply
    3,578.01x = 5,369.11 × 1,497.84
  4. Step 4: Simplify right side
    3,578.01x = 8,042,067.72
  5. Step 5: Solve for x
    x = 8,042,067.72/3,578.01
  6. Step 6: Final answer
    x = 2,247.64

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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.