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Finding the Fourth Proportional to 5,751.67, 7,937.26 and 3,267.67

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Solution

The fourth proportional to 5,751.67, 7,937.26 and 3,267.67 is: 4,509.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.67 : 7,937.26 = 3,267.67 : x
  2. Step 2: Convert to fraction form
    5,751.67/7,937.26 = 3,267.67/x
  3. Step 3: Cross multiply
    5,751.67x = 7,937.26 × 3,267.67
  4. Step 4: Simplify right side
    5,751.67x = 25,936,346.38
  5. Step 5: Solve for x
    x = 25,936,346.38/5,751.67
  6. Step 6: Final answer
    x = 4,509.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.