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Finding the Fourth Proportional to 3,462.89, 5,193.05 and 1,382.27

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Solution

The fourth proportional to 3,462.89, 5,193.05 and 1,382.27 is: 2,072.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.89 : 5,193.05 = 1,382.27 : x
  2. Step 2: Convert to fraction form
    3,462.89/5,193.05 = 1,382.27/x
  3. Step 3: Cross multiply
    3,462.89x = 5,193.05 × 1,382.27
  4. Step 4: Simplify right side
    3,462.89x = 7,178,213.66
  5. Step 5: Solve for x
    x = 7,178,213.66/3,462.89
  6. Step 6: Final answer
    x = 2,072.90

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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.