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Finding the Fourth Proportional to 5,884, 8,120.14 and 3,231.38

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Solution

The fourth proportional to 5,884, 8,120.14 and 3,231.38 is: 4,459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884 : 8,120.14 = 3,231.38 : x
  2. Step 2: Convert to fraction form
    5,884/8,120.14 = 3,231.38/x
  3. Step 3: Cross multiply
    5,884x = 8,120.14 × 3,231.38
  4. Step 4: Simplify right side
    5,884x = 26,239,257.99
  5. Step 5: Solve for x
    x = 26,239,257.99/5,884
  6. Step 6: Final answer
    x = 4,459.43

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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.