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Finding the Fourth Proportional to 4,789.89, 7,184.84 and 1,327.14

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Solution

The fourth proportional to 4,789.89, 7,184.84 and 1,327.14 is: 1,990.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.89 : 7,184.84 = 1,327.14 : x
  2. Step 2: Convert to fraction form
    4,789.89/7,184.84 = 1,327.14/x
  3. Step 3: Cross multiply
    4,789.89x = 7,184.84 × 1,327.14
  4. Step 4: Simplify right side
    4,789.89x = 9,535,288.56
  5. Step 5: Solve for x
    x = 9,535,288.56/4,789.89
  6. Step 6: Final answer
    x = 1,990.71

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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.