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Finding the Fourth Proportional to 3,838.44, 5,757.84 and 1,241.58

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Solution

The fourth proportional to 3,838.44, 5,757.84 and 1,241.58 is: 1,862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.44 : 5,757.84 = 1,241.58 : x
  2. Step 2: Convert to fraction form
    3,838.44/5,757.84 = 1,241.58/x
  3. Step 3: Cross multiply
    3,838.44x = 5,757.84 × 1,241.58
  4. Step 4: Simplify right side
    3,838.44x = 7,148,818.99
  5. Step 5: Solve for x
    x = 7,148,818.99/3,838.44
  6. Step 6: Final answer
    x = 1,862.43

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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.