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Finding the Fourth Proportional to 5,223.99, 7,834.01 and 2,102.94

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Solution

The fourth proportional to 5,223.99, 7,834.01 and 2,102.94 is: 3,153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.99 : 7,834.01 = 2,102.94 : x
  2. Step 2: Convert to fraction form
    5,223.99/7,834.01 = 2,102.94/x
  3. Step 3: Cross multiply
    5,223.99x = 7,834.01 × 2,102.94
  4. Step 4: Simplify right side
    5,223.99x = 16,474,452.99
  5. Step 5: Solve for x
    x = 16,474,452.99/5,223.99
  6. Step 6: Final answer
    x = 3,153.61

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Why These Related Problems?

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