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Finding the Fourth Proportional to 5,224.44, 7,834.23 and 2,103.24

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Solution

The fourth proportional to 5,224.44, 7,834.23 and 2,103.24 is: 3,153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.44 : 7,834.23 = 2,103.24 : x
  2. Step 2: Convert to fraction form
    5,224.44/7,834.23 = 2,103.24/x
  3. Step 3: Cross multiply
    5,224.44x = 7,834.23 × 2,103.24
  4. Step 4: Simplify right side
    5,224.44x = 16,477,265.91
  5. Step 5: Solve for x
    x = 16,477,265.91/5,224.44
  6. Step 6: Final answer
    x = 3,153.88

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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.