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Finding the Fourth Proportional to 3,517.58, 5,299.83 and 3,184.44

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Solution

The fourth proportional to 3,517.58, 5,299.83 and 3,184.44 is: 4,797.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.58 : 5,299.83 = 3,184.44 : x
  2. Step 2: Convert to fraction form
    3,517.58/5,299.83 = 3,184.44/x
  3. Step 3: Cross multiply
    3,517.58x = 5,299.83 × 3,184.44
  4. Step 4: Simplify right side
    3,517.58x = 16,876,990.65
  5. Step 5: Solve for x
    x = 16,876,990.65/3,517.58
  6. Step 6: Final answer
    x = 4,797.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.