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Finding the Fourth Proportional to 3,843.40, 5,761.35 and 1,969.29

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Solution

The fourth proportional to 3,843.40, 5,761.35 and 1,969.29 is: 2,952.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.40 : 5,761.35 = 1,969.29 : x
  2. Step 2: Convert to fraction form
    3,843.40/5,761.35 = 1,969.29/x
  3. Step 3: Cross multiply
    3,843.40x = 5,761.35 × 1,969.29
  4. Step 4: Simplify right side
    3,843.40x = 11,345,768.94
  5. Step 5: Solve for x
    x = 11,345,768.94/3,843.40
  6. Step 6: Final answer
    x = 2,952.01

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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.