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Finding the Fourth Proportional to 3,578.32, 5,367.71 and 1,238.55

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Solution

The fourth proportional to 3,578.32, 5,367.71 and 1,238.55 is: 1,857.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.32 : 5,367.71 = 1,238.55 : x
  2. Step 2: Convert to fraction form
    3,578.32/5,367.71 = 1,238.55/x
  3. Step 3: Cross multiply
    3,578.32x = 5,367.71 × 1,238.55
  4. Step 4: Simplify right side
    3,578.32x = 6,648,177.22
  5. Step 5: Solve for x
    x = 6,648,177.22/3,578.32
  6. Step 6: Final answer
    x = 1,857.90

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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.