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Finding the Fourth Proportional to 3,982.72, 5,969.58 and 1,901.02

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Solution

The fourth proportional to 3,982.72, 5,969.58 and 1,901.02 is: 2,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.72 : 5,969.58 = 1,901.02 : x
  2. Step 2: Convert to fraction form
    3,982.72/5,969.58 = 1,901.02/x
  3. Step 3: Cross multiply
    3,982.72x = 5,969.58 × 1,901.02
  4. Step 4: Simplify right side
    3,982.72x = 11,348,290.97
  5. Step 5: Solve for x
    x = 11,348,290.97/3,982.72
  6. Step 6: Final answer
    x = 2,849.38

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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.