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Finding the Fourth Proportional to 3,818.85, 5,725.96 and 1,843.26

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Solution

The fourth proportional to 3,818.85, 5,725.96 and 1,843.26 is: 2,763.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.85 : 5,725.96 = 1,843.26 : x
  2. Step 2: Convert to fraction form
    3,818.85/5,725.96 = 1,843.26/x
  3. Step 3: Cross multiply
    3,818.85x = 5,725.96 × 1,843.26
  4. Step 4: Simplify right side
    3,818.85x = 10,554,433.03
  5. Step 5: Solve for x
    x = 10,554,433.03/3,818.85
  6. Step 6: Final answer
    x = 2,763.77

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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.