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Finding the Fourth Proportional to 5,493.39, 8,238.03 and 1,982.45

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Solution

The fourth proportional to 5,493.39, 8,238.03 and 1,982.45 is: 2,972.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.39 : 8,238.03 = 1,982.45 : x
  2. Step 2: Convert to fraction form
    5,493.39/8,238.03 = 1,982.45/x
  3. Step 3: Cross multiply
    5,493.39x = 8,238.03 × 1,982.45
  4. Step 4: Simplify right side
    5,493.39x = 16,331,441.38
  5. Step 5: Solve for x
    x = 16,331,441.38/5,493.39
  6. Step 6: Final answer
    x = 2,972.93

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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.