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Finding the Fourth Proportional to 5,322.96, 7,984.44 and 2,541.22

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Solution

The fourth proportional to 5,322.96, 7,984.44 and 2,541.22 is: 3,811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.96 : 7,984.44 = 2,541.22 : x
  2. Step 2: Convert to fraction form
    5,322.96/7,984.44 = 2,541.22/x
  3. Step 3: Cross multiply
    5,322.96x = 7,984.44 × 2,541.22
  4. Step 4: Simplify right side
    5,322.96x = 20,290,198.66
  5. Step 5: Solve for x
    x = 20,290,198.66/5,322.96
  6. Step 6: Final answer
    x = 3,811.83

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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.