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Finding the Fourth Proportional to 3,836.46, 5,754.90 and 1,204.33

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Solution

The fourth proportional to 3,836.46, 5,754.90 and 1,204.33 is: 1,806.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.46 : 5,754.90 = 1,204.33 : x
  2. Step 2: Convert to fraction form
    3,836.46/5,754.90 = 1,204.33/x
  3. Step 3: Cross multiply
    3,836.46x = 5,754.90 × 1,204.33
  4. Step 4: Simplify right side
    3,836.46x = 6,930,798.72
  5. Step 5: Solve for x
    x = 6,930,798.72/3,836.46
  6. Step 6: Final answer
    x = 1,806.56

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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.