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Finding the Fourth Proportional to 5,691.06, 7,853.42 and 4,198.44

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Solution

The fourth proportional to 5,691.06, 7,853.42 and 4,198.44 is: 5,793.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.06 : 7,853.42 = 4,198.44 : x
  2. Step 2: Convert to fraction form
    5,691.06/7,853.42 = 4,198.44/x
  3. Step 3: Cross multiply
    5,691.06x = 7,853.42 × 4,198.44
  4. Step 4: Simplify right side
    5,691.06x = 32,972,112.66
  5. Step 5: Solve for x
    x = 32,972,112.66/5,691.06
  6. Step 6: Final answer
    x = 5,793.67

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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.