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Finding the Fourth Proportional to 5,194.75, 7,790.52 and 1,908.10

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Solution

The fourth proportional to 5,194.75, 7,790.52 and 1,908.10 is: 2,861.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.75 : 7,790.52 = 1,908.10 : x
  2. Step 2: Convert to fraction form
    5,194.75/7,790.52 = 1,908.10/x
  3. Step 3: Cross multiply
    5,194.75x = 7,790.52 × 1,908.10
  4. Step 4: Simplify right side
    5,194.75x = 14,865,091.21
  5. Step 5: Solve for x
    x = 14,865,091.21/5,194.75
  6. Step 6: Final answer
    x = 2,861.56

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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.