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Finding the Fourth Proportional to 3,999.46, 5,999.70 and 1,367.47

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Solution

The fourth proportional to 3,999.46, 5,999.70 and 1,367.47 is: 2,051.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.46 : 5,999.70 = 1,367.47 : x
  2. Step 2: Convert to fraction form
    3,999.46/5,999.70 = 1,367.47/x
  3. Step 3: Cross multiply
    3,999.46x = 5,999.70 × 1,367.47
  4. Step 4: Simplify right side
    3,999.46x = 8,204,372.92
  5. Step 5: Solve for x
    x = 8,204,372.92/3,999.46
  6. Step 6: Final answer
    x = 2,051.37

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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.