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Finding the Fourth Proportional to 5,223.66, 7,837.53 and 2,299.91

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Solution

The fourth proportional to 5,223.66, 7,837.53 and 2,299.91 is: 3,450.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.66 : 7,837.53 = 2,299.91 : x
  2. Step 2: Convert to fraction form
    5,223.66/7,837.53 = 2,299.91/x
  3. Step 3: Cross multiply
    5,223.66x = 7,837.53 × 2,299.91
  4. Step 4: Simplify right side
    5,223.66x = 18,025,609.90
  5. Step 5: Solve for x
    x = 18,025,609.90/5,223.66
  6. Step 6: Final answer
    x = 3,450.76

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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.