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Finding the Fourth Proportional to 3,147.57, 4,723.49 and 1,199.73

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Solution

The fourth proportional to 3,147.57, 4,723.49 and 1,199.73 is: 1,800.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.57 : 4,723.49 = 1,199.73 : x
  2. Step 2: Convert to fraction form
    3,147.57/4,723.49 = 1,199.73/x
  3. Step 3: Cross multiply
    3,147.57x = 4,723.49 × 1,199.73
  4. Step 4: Simplify right side
    3,147.57x = 5,666,906.66
  5. Step 5: Solve for x
    x = 5,666,906.66/3,147.57
  6. Step 6: Final answer
    x = 1,800.41

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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.