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Finding the Fourth Proportional to 3,998.46, 5,997.74 and 1,225.16

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Solution

The fourth proportional to 3,998.46, 5,997.74 and 1,225.16 is: 1,837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.46 : 5,997.74 = 1,225.16 : x
  2. Step 2: Convert to fraction form
    3,998.46/5,997.74 = 1,225.16/x
  3. Step 3: Cross multiply
    3,998.46x = 5,997.74 × 1,225.16
  4. Step 4: Simplify right side
    3,998.46x = 7,348,191.14
  5. Step 5: Solve for x
    x = 7,348,191.14/3,998.46
  6. Step 6: Final answer
    x = 1,837.76

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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.