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Finding the Fourth Proportional to 5,949.59, 8,208.92 and 3,712.55

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Solution

The fourth proportional to 5,949.59, 8,208.92 and 3,712.55 is: 5,122.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.59 : 8,208.92 = 3,712.55 : x
  2. Step 2: Convert to fraction form
    5,949.59/8,208.92 = 3,712.55/x
  3. Step 3: Cross multiply
    5,949.59x = 8,208.92 × 3,712.55
  4. Step 4: Simplify right side
    5,949.59x = 30,476,007.38
  5. Step 5: Solve for x
    x = 30,476,007.38/5,949.59
  6. Step 6: Final answer
    x = 5,122.37

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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.