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Finding the Fourth Proportional to 3,832.26, 5,748.84 and 1,367.44

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Solution

The fourth proportional to 3,832.26, 5,748.84 and 1,367.44 is: 2,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.26 : 5,748.84 = 1,367.44 : x
  2. Step 2: Convert to fraction form
    3,832.26/5,748.84 = 1,367.44/x
  3. Step 3: Cross multiply
    3,832.26x = 5,748.84 × 1,367.44
  4. Step 4: Simplify right side
    3,832.26x = 7,861,193.77
  5. Step 5: Solve for x
    x = 7,861,193.77/3,832.26
  6. Step 6: Final answer
    x = 2,051.32

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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.