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Finding the Fourth Proportional to 5,194.60, 7,791.94 and 1,299.02

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Solution

The fourth proportional to 5,194.60, 7,791.94 and 1,299.02 is: 1,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.60 : 7,791.94 = 1,299.02 : x
  2. Step 2: Convert to fraction form
    5,194.60/7,791.94 = 1,299.02/x
  3. Step 3: Cross multiply
    5,194.60x = 7,791.94 × 1,299.02
  4. Step 4: Simplify right side
    5,194.60x = 10,121,885.90
  5. Step 5: Solve for x
    x = 10,121,885.90/5,194.60
  6. Step 6: Final answer
    x = 1,948.54

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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.