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Finding the Fourth Proportional to 3,843.36, 5,753.28 and 2,106.72

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Solution

The fourth proportional to 3,843.36, 5,753.28 and 2,106.72 is: 3,153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.36 : 5,753.28 = 2,106.72 : x
  2. Step 2: Convert to fraction form
    3,843.36/5,753.28 = 2,106.72/x
  3. Step 3: Cross multiply
    3,843.36x = 5,753.28 × 2,106.72
  4. Step 4: Simplify right side
    3,843.36x = 12,120,550.04
  5. Step 5: Solve for x
    x = 12,120,550.04/3,843.36
  6. Step 6: Final answer
    x = 3,153.63

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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.