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Finding the Fourth Proportional to 3,839.67, 5,744.93 and 2,375.19

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Solution

The fourth proportional to 3,839.67, 5,744.93 and 2,375.19 is: 3,553.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.67 : 5,744.93 = 2,375.19 : x
  2. Step 2: Convert to fraction form
    3,839.67/5,744.93 = 2,375.19/x
  3. Step 3: Cross multiply
    3,839.67x = 5,744.93 × 2,375.19
  4. Step 4: Simplify right side
    3,839.67x = 13,645,288.41
  5. Step 5: Solve for x
    x = 13,645,288.41/3,839.67
  6. Step 6: Final answer
    x = 3,553.77

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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.