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Finding the Fourth Proportional to 5,196.87, 7,798.38 and 1,912.27

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Solution

The fourth proportional to 5,196.87, 7,798.38 and 1,912.27 is: 2,869.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.87 : 7,798.38 = 1,912.27 : x
  2. Step 2: Convert to fraction form
    5,196.87/7,798.38 = 1,912.27/x
  3. Step 3: Cross multiply
    5,196.87x = 7,798.38 × 1,912.27
  4. Step 4: Simplify right side
    5,196.87x = 14,912,608.12
  5. Step 5: Solve for x
    x = 14,912,608.12/5,196.87
  6. Step 6: Final answer
    x = 2,869.54

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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.