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Finding the Fourth Proportional to 5,710.27, 7,879.41 and 3,192.07

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Solution

The fourth proportional to 5,710.27, 7,879.41 and 3,192.07 is: 4,404.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.27 : 7,879.41 = 3,192.07 : x
  2. Step 2: Convert to fraction form
    5,710.27/7,879.41 = 3,192.07/x
  3. Step 3: Cross multiply
    5,710.27x = 7,879.41 × 3,192.07
  4. Step 4: Simplify right side
    5,710.27x = 25,151,620.55
  5. Step 5: Solve for x
    x = 25,151,620.55/5,710.27
  6. Step 6: Final answer
    x = 4,404.63

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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.