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Finding the Fourth Proportional to 5,710.52, 7,879.68 and 3,192.27

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Solution

The fourth proportional to 5,710.52, 7,879.68 and 3,192.27 is: 4,404.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.52 : 7,879.68 = 3,192.27 : x
  2. Step 2: Convert to fraction form
    5,710.52/7,879.68 = 3,192.27/x
  3. Step 3: Cross multiply
    5,710.52x = 7,879.68 × 3,192.27
  4. Step 4: Simplify right side
    5,710.52x = 25,154,066.07
  5. Step 5: Solve for x
    x = 25,154,066.07/5,710.52
  6. Step 6: Final answer
    x = 4,404.86

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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.