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Finding the Fourth Proportional to 3,838.38, 5,757.57 and 2,539.55

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Solution

The fourth proportional to 3,838.38, 5,757.57 and 2,539.55 is: 3,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.38 : 5,757.57 = 2,539.55 : x
  2. Step 2: Convert to fraction form
    3,838.38/5,757.57 = 2,539.55/x
  3. Step 3: Cross multiply
    3,838.38x = 5,757.57 × 2,539.55
  4. Step 4: Simplify right side
    3,838.38x = 14,621,608.11
  5. Step 5: Solve for x
    x = 14,621,608.11/3,838.38
  6. Step 6: Final answer
    x = 3,809.32

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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.