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Finding the Fourth Proportional to 5,246.82, 7,872.96 and 2,324.44

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Solution

The fourth proportional to 5,246.82, 7,872.96 and 2,324.44 is: 3,487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.82 : 7,872.96 = 2,324.44 : x
  2. Step 2: Convert to fraction form
    5,246.82/7,872.96 = 2,324.44/x
  3. Step 3: Cross multiply
    5,246.82x = 7,872.96 × 2,324.44
  4. Step 4: Simplify right side
    5,246.82x = 18,300,203.46
  5. Step 5: Solve for x
    x = 18,300,203.46/5,246.82
  6. Step 6: Final answer
    x = 3,487.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.