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Finding the Fourth Proportional to 3,838.24, 5,757.90 and 1,372.54

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Solution

The fourth proportional to 3,838.24, 5,757.90 and 1,372.54 is: 2,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.24 : 5,757.90 = 1,372.54 : x
  2. Step 2: Convert to fraction form
    3,838.24/5,757.90 = 1,372.54/x
  3. Step 3: Cross multiply
    3,838.24x = 5,757.90 × 1,372.54
  4. Step 4: Simplify right side
    3,838.24x = 7,902,948.07
  5. Step 5: Solve for x
    x = 7,902,948.07/3,838.24
  6. Step 6: Final answer
    x = 2,059.00

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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.