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Finding the Fourth Proportional to 4,198.58, 5,794.39 and 2,310.53

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Solution

The fourth proportional to 4,198.58, 5,794.39 and 2,310.53 is: 3,188.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.58 : 5,794.39 = 2,310.53 : x
  2. Step 2: Convert to fraction form
    4,198.58/5,794.39 = 2,310.53/x
  3. Step 3: Cross multiply
    4,198.58x = 5,794.39 × 2,310.53
  4. Step 4: Simplify right side
    4,198.58x = 13,388,072.85
  5. Step 5: Solve for x
    x = 13,388,072.85/4,198.58
  6. Step 6: Final answer
    x = 3,188.71

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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.