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Finding the Fourth Proportional to 3,846.53, 5,769.43 and 1,072.98

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Solution

The fourth proportional to 3,846.53, 5,769.43 and 1,072.98 is: 1,609.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.53 : 5,769.43 = 1,072.98 : x
  2. Step 2: Convert to fraction form
    3,846.53/5,769.43 = 1,072.98/x
  3. Step 3: Cross multiply
    3,846.53x = 5,769.43 × 1,072.98
  4. Step 4: Simplify right side
    3,846.53x = 6,190,480.32
  5. Step 5: Solve for x
    x = 6,190,480.32/3,846.53
  6. Step 6: Final answer
    x = 1,609.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.