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Finding the Fourth Proportional to 5,194.99, 7,790.94 and 1,908.33

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Solution

The fourth proportional to 5,194.99, 7,790.94 and 1,908.33 is: 2,861.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.99 : 7,790.94 = 1,908.33 : x
  2. Step 2: Convert to fraction form
    5,194.99/7,790.94 = 1,908.33/x
  3. Step 3: Cross multiply
    5,194.99x = 7,790.94 × 1,908.33
  4. Step 4: Simplify right side
    5,194.99x = 14,867,722.39
  5. Step 5: Solve for x
    x = 14,867,722.39/5,194.99
  6. Step 6: Final answer
    x = 2,861.94

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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.