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Finding the Fourth Proportional to 5,768.42, 7,960.45 and 3,379.80

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Solution

The fourth proportional to 5,768.42, 7,960.45 and 3,379.80 is: 4,664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.42 : 7,960.45 = 3,379.80 : x
  2. Step 2: Convert to fraction form
    5,768.42/7,960.45 = 3,379.80/x
  3. Step 3: Cross multiply
    5,768.42x = 7,960.45 × 3,379.80
  4. Step 4: Simplify right side
    5,768.42x = 26,904,757.26
  5. Step 5: Solve for x
    x = 26,904,757.26/5,768.42
  6. Step 6: Final answer
    x = 4,664.15

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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.