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Finding the Fourth Proportional to 3,912.12, 5,866.02 and 1,605.24

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Solution

The fourth proportional to 3,912.12, 5,866.02 and 1,605.24 is: 2,406.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.12 : 5,866.02 = 1,605.24 : x
  2. Step 2: Convert to fraction form
    3,912.12/5,866.02 = 1,605.24/x
  3. Step 3: Cross multiply
    3,912.12x = 5,866.02 × 1,605.24
  4. Step 4: Simplify right side
    3,912.12x = 9,416,369.94
  5. Step 5: Solve for x
    x = 9,416,369.94/3,912.12
  6. Step 6: Final answer
    x = 2,406.97

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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.