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Finding the Fourth Proportional to 3,881.28, 5,821.12 and 1,107.36

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Solution

The fourth proportional to 3,881.28, 5,821.12 and 1,107.36 is: 1,660.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.28 : 5,821.12 = 1,107.36 : x
  2. Step 2: Convert to fraction form
    3,881.28/5,821.12 = 1,107.36/x
  3. Step 3: Cross multiply
    3,881.28x = 5,821.12 × 1,107.36
  4. Step 4: Simplify right side
    3,881.28x = 6,446,075.44
  5. Step 5: Solve for x
    x = 6,446,075.44/3,881.28
  6. Step 6: Final answer
    x = 1,660.81

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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.