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Finding the Fourth Proportional to 3,571.92, 5,333.49 and 3,072.96

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Solution

The fourth proportional to 3,571.92, 5,333.49 and 3,072.96 is: 4,588.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571.92 : 5,333.49 = 3,072.96 : x
  2. Step 2: Convert to fraction form
    3,571.92/5,333.49 = 3,072.96/x
  3. Step 3: Cross multiply
    3,571.92x = 5,333.49 × 3,072.96
  4. Step 4: Simplify right side
    3,571.92x = 16,389,601.43
  5. Step 5: Solve for x
    x = 16,389,601.43/3,571.92
  6. Step 6: Final answer
    x = 4,588.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.