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Finding the Fourth Proportional to 5,493.94, 8,241.95 and 2,207.30

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Solution

The fourth proportional to 5,493.94, 8,241.95 and 2,207.30 is: 3,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.94 : 8,241.95 = 2,207.30 : x
  2. Step 2: Convert to fraction form
    5,493.94/8,241.95 = 2,207.30/x
  3. Step 3: Cross multiply
    5,493.94x = 8,241.95 × 2,207.30
  4. Step 4: Simplify right side
    5,493.94x = 18,192,420.54
  5. Step 5: Solve for x
    x = 18,192,420.54/5,493.94
  6. Step 6: Final answer
    x = 3,311.36

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Why These Related Problems?

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