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Finding the Fourth Proportional to 3,846.38, 5,768.98 and 1,072.76

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Solution

The fourth proportional to 3,846.38, 5,768.98 and 1,072.76 is: 1,608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.38 : 5,768.98 = 1,072.76 : x
  2. Step 2: Convert to fraction form
    3,846.38/5,768.98 = 1,072.76/x
  3. Step 3: Cross multiply
    3,846.38x = 5,768.98 × 1,072.76
  4. Step 4: Simplify right side
    3,846.38x = 6,188,699.46
  5. Step 5: Solve for x
    x = 6,188,699.46/3,846.38
  6. Step 6: Final answer
    x = 1,608.97

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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.