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Finding the Fourth Proportional to 5,832.14, 8,048.10 and 3,179.56

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Solution

The fourth proportional to 5,832.14, 8,048.10 and 3,179.56 is: 4,387.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.14 : 8,048.10 = 3,179.56 : x
  2. Step 2: Convert to fraction form
    5,832.14/8,048.10 = 3,179.56/x
  3. Step 3: Cross multiply
    5,832.14x = 8,048.10 × 3,179.56
  4. Step 4: Simplify right side
    5,832.14x = 25,589,416.84
  5. Step 5: Solve for x
    x = 25,589,416.84/5,832.14
  6. Step 6: Final answer
    x = 4,387.65

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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.