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Finding the Fourth Proportional to 3,998.02, 5,997.47 and 1,365.79

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Solution

The fourth proportional to 3,998.02, 5,997.47 and 1,365.79 is: 2,048.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.02 : 5,997.47 = 1,365.79 : x
  2. Step 2: Convert to fraction form
    3,998.02/5,997.47 = 1,365.79/x
  3. Step 3: Cross multiply
    3,998.02x = 5,997.47 × 1,365.79
  4. Step 4: Simplify right side
    3,998.02x = 8,191,284.55
  5. Step 5: Solve for x
    x = 8,191,284.55/3,998.02
  6. Step 6: Final answer
    x = 2,048.84

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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.