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Finding the Fourth Proportional to 5,216.44, 7,198.62 and 2,858.62

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Solution

The fourth proportional to 5,216.44, 7,198.62 and 2,858.62 is: 3,944.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.44 : 7,198.62 = 2,858.62 : x
  2. Step 2: Convert to fraction form
    5,216.44/7,198.62 = 2,858.62/x
  3. Step 3: Cross multiply
    5,216.44x = 7,198.62 × 2,858.62
  4. Step 4: Simplify right side
    5,216.44x = 20,578,119.10
  5. Step 5: Solve for x
    x = 20,578,119.10/5,216.44
  6. Step 6: Final answer
    x = 3,944.86

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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.