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Finding the Fourth Proportional to 3,578.97, 5,366.16 and 1,500.44

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Solution

The fourth proportional to 3,578.97, 5,366.16 and 1,500.44 is: 2,249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.97 : 5,366.16 = 1,500.44 : x
  2. Step 2: Convert to fraction form
    3,578.97/5,366.16 = 1,500.44/x
  3. Step 3: Cross multiply
    3,578.97x = 5,366.16 × 1,500.44
  4. Step 4: Simplify right side
    3,578.97x = 8,051,614.53
  5. Step 5: Solve for x
    x = 8,051,614.53/3,578.97
  6. Step 6: Final answer
    x = 2,249.70

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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.