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Finding the Fourth Proportional to 6,198, 8,553.28 and 3,403.52

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Solution

The fourth proportional to 6,198, 8,553.28 and 3,403.52 is: 4,696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198 : 8,553.28 = 3,403.52 : x
  2. Step 2: Convert to fraction form
    6,198/8,553.28 = 3,403.52/x
  3. Step 3: Cross multiply
    6,198x = 8,553.28 × 3,403.52
  4. Step 4: Simplify right side
    6,198x = 29,111,259.55
  5. Step 5: Solve for x
    x = 29,111,259.55/6,198
  6. Step 6: Final answer
    x = 4,696.88

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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.