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Finding the Fourth Proportional to 6,198.24, 8,553.72 and 3,403.80

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Solution

The fourth proportional to 6,198.24, 8,553.72 and 3,403.80 is: 4,697.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.24 : 8,553.72 = 3,403.80 : x
  2. Step 2: Convert to fraction form
    6,198.24/8,553.72 = 3,403.80/x
  3. Step 3: Cross multiply
    6,198.24x = 8,553.72 × 3,403.80
  4. Step 4: Simplify right side
    6,198.24x = 29,115,152.14
  5. Step 5: Solve for x
    x = 29,115,152.14/6,198.24
  6. Step 6: Final answer
    x = 4,697.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.