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Finding the Fourth Proportional to 4,147.73, 6,213.26 and 2,061.42

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Solution

The fourth proportional to 4,147.73, 6,213.26 and 2,061.42 is: 3,087.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.73 : 6,213.26 = 2,061.42 : x
  2. Step 2: Convert to fraction form
    4,147.73/6,213.26 = 2,061.42/x
  3. Step 3: Cross multiply
    4,147.73x = 6,213.26 × 2,061.42
  4. Step 4: Simplify right side
    4,147.73x = 12,808,128.12
  5. Step 5: Solve for x
    x = 12,808,128.12/4,147.73
  6. Step 6: Final answer
    x = 3,087.99

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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.