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Finding the Fourth Proportional to 5,243.72, 7,867.26 and 2,609.48

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Solution

The fourth proportional to 5,243.72, 7,867.26 and 2,609.48 is: 3,915.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.72 : 7,867.26 = 2,609.48 : x
  2. Step 2: Convert to fraction form
    5,243.72/7,867.26 = 2,609.48/x
  3. Step 3: Cross multiply
    5,243.72x = 7,867.26 × 2,609.48
  4. Step 4: Simplify right side
    5,243.72x = 20,529,457.62
  5. Step 5: Solve for x
    x = 20,529,457.62/5,243.72
  6. Step 6: Final answer
    x = 3,915.06

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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.