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Finding the Fourth Proportional to 5,424.76, 7,486.49 and 3,067.12

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Solution

The fourth proportional to 5,424.76, 7,486.49 and 3,067.12 is: 4,232.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.76 : 7,486.49 = 3,067.12 : x
  2. Step 2: Convert to fraction form
    5,424.76/7,486.49 = 3,067.12/x
  3. Step 3: Cross multiply
    5,424.76x = 7,486.49 × 3,067.12
  4. Step 4: Simplify right side
    5,424.76x = 22,961,910.44
  5. Step 5: Solve for x
    x = 22,961,910.44/5,424.76
  6. Step 6: Final answer
    x = 4,232.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.