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Finding the Fourth Proportional to 3,999.10, 5,998.34 and 1,366.38

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Solution

The fourth proportional to 3,999.10, 5,998.34 and 1,366.38 is: 2,049.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.10 : 5,998.34 = 1,366.38 : x
  2. Step 2: Convert to fraction form
    3,999.10/5,998.34 = 1,366.38/x
  3. Step 3: Cross multiply
    3,999.10x = 5,998.34 × 1,366.38
  4. Step 4: Simplify right side
    3,999.10x = 8,196,011.81
  5. Step 5: Solve for x
    x = 8,196,011.81/3,999.10
  6. Step 6: Final answer
    x = 2,049.46

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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.