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Finding the Fourth Proportional to 5,449.46, 8,170.77 and 2,524.01

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Solution

The fourth proportional to 5,449.46, 8,170.77 and 2,524.01 is: 3,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.46 : 8,170.77 = 2,524.01 : x
  2. Step 2: Convert to fraction form
    5,449.46/8,170.77 = 2,524.01/x
  3. Step 3: Cross multiply
    5,449.46x = 8,170.77 × 2,524.01
  4. Step 4: Simplify right side
    5,449.46x = 20,623,105.19
  5. Step 5: Solve for x
    x = 20,623,105.19/5,449.46
  6. Step 6: Final answer
    x = 3,784.43

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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.