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Finding the Fourth Proportional to 5,241.86, 7,227.84 and 4,044.14

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Solution

The fourth proportional to 5,241.86, 7,227.84 and 4,044.14 is: 5,576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.86 : 7,227.84 = 4,044.14 : x
  2. Step 2: Convert to fraction form
    5,241.86/7,227.84 = 4,044.14/x
  3. Step 3: Cross multiply
    5,241.86x = 7,227.84 × 4,044.14
  4. Step 4: Simplify right side
    5,241.86x = 29,230,396.86
  5. Step 5: Solve for x
    x = 29,230,396.86/5,241.86
  6. Step 6: Final answer
    x = 5,576.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.