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Finding the Fourth Proportional to 5,922.45, 8,171.15 and 3,369.87

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Solution

The fourth proportional to 5,922.45, 8,171.15 and 3,369.87 is: 4,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.45 : 8,171.15 = 3,369.87 : x
  2. Step 2: Convert to fraction form
    5,922.45/8,171.15 = 3,369.87/x
  3. Step 3: Cross multiply
    5,922.45x = 8,171.15 × 3,369.87
  4. Step 4: Simplify right side
    5,922.45x = 27,535,696.40
  5. Step 5: Solve for x
    x = 27,535,696.40/5,922.45
  6. Step 6: Final answer
    x = 4,649.38

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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.