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Finding the Fourth Proportional to 3,845.50, 5,768.22 and 1,072.17

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Solution

The fourth proportional to 3,845.50, 5,768.22 and 1,072.17 is: 1,608.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.50 : 5,768.22 = 1,072.17 : x
  2. Step 2: Convert to fraction form
    3,845.50/5,768.22 = 1,072.17/x
  3. Step 3: Cross multiply
    3,845.50x = 5,768.22 × 1,072.17
  4. Step 4: Simplify right side
    3,845.50x = 6,184,512.44
  5. Step 5: Solve for x
    x = 6,184,512.44/3,845.50
  6. Step 6: Final answer
    x = 1,608.25

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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.