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Finding the Fourth Proportional to 6,012, 8,297.46 and 3,920.58

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Solution

The fourth proportional to 6,012, 8,297.46 and 3,920.58 is: 5,410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012 : 8,297.46 = 3,920.58 : x
  2. Step 2: Convert to fraction form
    6,012/8,297.46 = 3,920.58/x
  3. Step 3: Cross multiply
    6,012x = 8,297.46 × 3,920.58
  4. Step 4: Simplify right side
    6,012x = 32,530,855.73
  5. Step 5: Solve for x
    x = 32,530,855.73/6,012
  6. Step 6: Final answer
    x = 5,410.99

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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.