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Finding the Fourth Proportional to 3,992.70, 5,991.98 and 1,496.18

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Solution

The fourth proportional to 3,992.70, 5,991.98 and 1,496.18 is: 2,245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.70 : 5,991.98 = 1,496.18 : x
  2. Step 2: Convert to fraction form
    3,992.70/5,991.98 = 1,496.18/x
  3. Step 3: Cross multiply
    3,992.70x = 5,991.98 × 1,496.18
  4. Step 4: Simplify right side
    3,992.70x = 8,965,080.64
  5. Step 5: Solve for x
    x = 8,965,080.64/3,992.70
  6. Step 6: Final answer
    x = 2,245.37

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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.