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Finding the Fourth Proportional to 4,789.46, 7,182.81 and 2,016.11

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Solution

The fourth proportional to 4,789.46, 7,182.81 and 2,016.11 is: 3,023.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.46 : 7,182.81 = 2,016.11 : x
  2. Step 2: Convert to fraction form
    4,789.46/7,182.81 = 2,016.11/x
  3. Step 3: Cross multiply
    4,789.46x = 7,182.81 × 2,016.11
  4. Step 4: Simplify right side
    4,789.46x = 14,481,353.03
  5. Step 5: Solve for x
    x = 14,481,353.03/4,789.46
  6. Step 6: Final answer
    x = 3,023.59

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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.