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Finding the Fourth Proportional to 3,991.02, 5,984.37 and 1,392

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Solution

The fourth proportional to 3,991.02, 5,984.37 and 1,392 is: 2,087.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.02 : 5,984.37 = 1,392 : x
  2. Step 2: Convert to fraction form
    3,991.02/5,984.37 = 1,392/x
  3. Step 3: Cross multiply
    3,991.02x = 5,984.37 × 1,392
  4. Step 4: Simplify right side
    3,991.02x = 8,330,243.04
  5. Step 5: Solve for x
    x = 8,330,243.04/3,991.02
  6. Step 6: Final answer
    x = 2,087.25

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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.