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Finding the Fourth Proportional to 4,138.85, 6,209.57 and 1,367.47

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Solution

The fourth proportional to 4,138.85, 6,209.57 and 1,367.47 is: 2,051.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.85 : 6,209.57 = 1,367.47 : x
  2. Step 2: Convert to fraction form
    4,138.85/6,209.57 = 1,367.47/x
  3. Step 3: Cross multiply
    4,138.85x = 6,209.57 × 1,367.47
  4. Step 4: Simplify right side
    4,138.85x = 8,491,369.25
  5. Step 5: Solve for x
    x = 8,491,369.25/4,138.85
  6. Step 6: Final answer
    x = 2,051.63

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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.