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Finding the Fourth Proportional to 3,998.34, 5,997.51 and 1,076.94

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Solution

The fourth proportional to 3,998.34, 5,997.51 and 1,076.94 is: 1,615.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.34 : 5,997.51 = 1,076.94 : x
  2. Step 2: Convert to fraction form
    3,998.34/5,997.51 = 1,076.94/x
  3. Step 3: Cross multiply
    3,998.34x = 5,997.51 × 1,076.94
  4. Step 4: Simplify right side
    3,998.34x = 6,458,958.42
  5. Step 5: Solve for x
    x = 6,458,958.42/3,998.34
  6. Step 6: Final answer
    x = 1,615.41

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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.