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Finding the Fourth Proportional to 4,194.99, 6,296.13 and 3,611.79

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Solution

The fourth proportional to 4,194.99, 6,296.13 and 3,611.79 is: 5,420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.99 : 6,296.13 = 3,611.79 : x
  2. Step 2: Convert to fraction form
    4,194.99/6,296.13 = 3,611.79/x
  3. Step 3: Cross multiply
    4,194.99x = 6,296.13 × 3,611.79
  4. Step 4: Simplify right side
    4,194.99x = 22,740,299.37
  5. Step 5: Solve for x
    x = 22,740,299.37/4,194.99
  6. Step 6: Final answer
    x = 5,420.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.