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Finding the Fourth Proportional to 3,891.96, 5,832.48 and 3,458.22

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Solution

The fourth proportional to 3,891.96, 5,832.48 and 3,458.22 is: 5,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.96 : 5,832.48 = 3,458.22 : x
  2. Step 2: Convert to fraction form
    3,891.96/5,832.48 = 3,458.22/x
  3. Step 3: Cross multiply
    3,891.96x = 5,832.48 × 3,458.22
  4. Step 4: Simplify right side
    3,891.96x = 20,169,998.99
  5. Step 5: Solve for x
    x = 20,169,998.99/3,891.96
  6. Step 6: Final answer
    x = 5,182.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.