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Finding the Fourth Proportional to 5,751.85, 7,937.84 and 3,234.37

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Solution

The fourth proportional to 5,751.85, 7,937.84 and 3,234.37 is: 4,463.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.85 : 7,937.84 = 3,234.37 : x
  2. Step 2: Convert to fraction form
    5,751.85/7,937.84 = 3,234.37/x
  3. Step 3: Cross multiply
    5,751.85x = 7,937.84 × 3,234.37
  4. Step 4: Simplify right side
    5,751.85x = 25,673,899.80
  5. Step 5: Solve for x
    x = 25,673,899.80/5,751.85
  6. Step 6: Final answer
    x = 4,463.59

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