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Finding the Fourth Proportional to 5,198.81, 7,181.94 and 4,498.97

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Solution

The fourth proportional to 5,198.81, 7,181.94 and 4,498.97 is: 6,215.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.81 : 7,181.94 = 4,498.97 : x
  2. Step 2: Convert to fraction form
    5,198.81/7,181.94 = 4,498.97/x
  3. Step 3: Cross multiply
    5,198.81x = 7,181.94 × 4,498.97
  4. Step 4: Simplify right side
    5,198.81x = 32,311,296.69
  5. Step 5: Solve for x
    x = 32,311,296.69/5,198.81
  6. Step 6: Final answer
    x = 6,215.14

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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.