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Finding the Fourth Proportional to 5,803.25, 8,704.85 and 2,105.47

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Solution

The fourth proportional to 5,803.25, 8,704.85 and 2,105.47 is: 3,158.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.25 : 8,704.85 = 2,105.47 : x
  2. Step 2: Convert to fraction form
    5,803.25/8,704.85 = 2,105.47/x
  3. Step 3: Cross multiply
    5,803.25x = 8,704.85 × 2,105.47
  4. Step 4: Simplify right side
    5,803.25x = 18,327,757.01
  5. Step 5: Solve for x
    x = 18,327,757.01/5,803.25
  6. Step 6: Final answer
    x = 3,158.19

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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.