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Finding the Fourth Proportional to 5,193.60, 7,794.54 and 2,729.87

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Solution

The fourth proportional to 5,193.60, 7,794.54 and 2,729.87 is: 4,096.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.60 : 7,794.54 = 2,729.87 : x
  2. Step 2: Convert to fraction form
    5,193.60/7,794.54 = 2,729.87/x
  3. Step 3: Cross multiply
    5,193.60x = 7,794.54 × 2,729.87
  4. Step 4: Simplify right side
    5,193.60x = 21,278,041.94
  5. Step 5: Solve for x
    x = 21,278,041.94/5,193.60
  6. Step 6: Final answer
    x = 4,096.97

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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.