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Finding the Fourth Proportional to 5,384.71, 8,072.17 and 3,996.37

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Solution

The fourth proportional to 5,384.71, 8,072.17 and 3,996.37 is: 5,990.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.71 : 8,072.17 = 3,996.37 : x
  2. Step 2: Convert to fraction form
    5,384.71/8,072.17 = 3,996.37/x
  3. Step 3: Cross multiply
    5,384.71x = 8,072.17 × 3,996.37
  4. Step 4: Simplify right side
    5,384.71x = 32,259,378.02
  5. Step 5: Solve for x
    x = 32,259,378.02/5,384.71
  6. Step 6: Final answer
    x = 5,990.92

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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.