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Finding the Fourth Proportional to 6,198.86, 8,554.02 and 3,680.84

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Solution

The fourth proportional to 6,198.86, 8,554.02 and 3,680.84 is: 5,079.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.86 : 8,554.02 = 3,680.84 : x
  2. Step 2: Convert to fraction form
    6,198.86/8,554.02 = 3,680.84/x
  3. Step 3: Cross multiply
    6,198.86x = 8,554.02 × 3,680.84
  4. Step 4: Simplify right side
    6,198.86x = 31,485,978.98
  5. Step 5: Solve for x
    x = 31,485,978.98/6,198.86
  6. Step 6: Final answer
    x = 5,079.32

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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.