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Finding the Fourth Proportional to 6,198.12, 8,553.42 and 3,403.80

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Solution

The fourth proportional to 6,198.12, 8,553.42 and 3,403.80 is: 4,697.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.12 : 8,553.42 = 3,403.80 : x
  2. Step 2: Convert to fraction form
    6,198.12/8,553.42 = 3,403.80/x
  3. Step 3: Cross multiply
    6,198.12x = 8,553.42 × 3,403.80
  4. Step 4: Simplify right side
    6,198.12x = 29,114,131.00
  5. Step 5: Solve for x
    x = 29,114,131.00/6,198.12
  6. Step 6: Final answer
    x = 4,697.25

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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.