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Finding the Fourth Proportional to 3,578.36, 5,367.90 and 1,238.30

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Solution

The fourth proportional to 3,578.36, 5,367.90 and 1,238.30 is: 1,857.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.36 : 5,367.90 = 1,238.30 : x
  2. Step 2: Convert to fraction form
    3,578.36/5,367.90 = 1,238.30/x
  3. Step 3: Cross multiply
    3,578.36x = 5,367.90 × 1,238.30
  4. Step 4: Simplify right side
    3,578.36x = 6,647,070.57
  5. Step 5: Solve for x
    x = 6,647,070.57/3,578.36
  6. Step 6: Final answer
    x = 1,857.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.