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Finding the Fourth Proportional to 3,578.91, 5,361.41 and 2,014.14

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Solution

The fourth proportional to 3,578.91, 5,361.41 and 2,014.14 is: 3,017.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.91 : 5,361.41 = 2,014.14 : x
  2. Step 2: Convert to fraction form
    3,578.91/5,361.41 = 2,014.14/x
  3. Step 3: Cross multiply
    3,578.91x = 5,361.41 × 2,014.14
  4. Step 4: Simplify right side
    3,578.91x = 10,798,620.27
  5. Step 5: Solve for x
    x = 10,798,620.27/3,578.91
  6. Step 6: Final answer
    x = 3,017.29

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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.