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Finding the Fourth Proportional to 6,191.76, 8,551.67 and 4,198.85

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Solution

The fourth proportional to 6,191.76, 8,551.67 and 4,198.85 is: 5,799.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.76 : 8,551.67 = 4,198.85 : x
  2. Step 2: Convert to fraction form
    6,191.76/8,551.67 = 4,198.85/x
  3. Step 3: Cross multiply
    6,191.76x = 8,551.67 × 4,198.85
  4. Step 4: Simplify right side
    6,191.76x = 35,907,179.58
  5. Step 5: Solve for x
    x = 35,907,179.58/6,191.76
  6. Step 6: Final answer
    x = 5,799.19

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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.