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Finding the Fourth Proportional to 5,976.12, 8,247.78 and 3,879.48

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Solution

The fourth proportional to 5,976.12, 8,247.78 and 3,879.48 is: 5,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.12 : 8,247.78 = 3,879.48 : x
  2. Step 2: Convert to fraction form
    5,976.12/8,247.78 = 3,879.48/x
  3. Step 3: Cross multiply
    5,976.12x = 8,247.78 × 3,879.48
  4. Step 4: Simplify right side
    5,976.12x = 31,997,097.55
  5. Step 5: Solve for x
    x = 31,997,097.55/5,976.12
  6. Step 6: Final answer
    x = 5,354.16

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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.