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Finding the Fourth Proportional to 3,997.98, 6,007.59 and 2,150.46

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Solution

The fourth proportional to 3,997.98, 6,007.59 and 2,150.46 is: 3,231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.98 : 6,007.59 = 2,150.46 : x
  2. Step 2: Convert to fraction form
    3,997.98/6,007.59 = 2,150.46/x
  3. Step 3: Cross multiply
    3,997.98x = 6,007.59 × 2,150.46
  4. Step 4: Simplify right side
    3,997.98x = 12,919,081.99
  5. Step 5: Solve for x
    x = 12,919,081.99/3,997.98
  6. Step 6: Final answer
    x = 3,231.40

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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.