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Finding the Fourth Proportional to 5,222.72, 7,832.64 and 2,144

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Solution

The fourth proportional to 5,222.72, 7,832.64 and 2,144 is: 3,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.72 : 7,832.64 = 2,144 : x
  2. Step 2: Convert to fraction form
    5,222.72/7,832.64 = 2,144/x
  3. Step 3: Cross multiply
    5,222.72x = 7,832.64 × 2,144
  4. Step 4: Simplify right side
    5,222.72x = 16,793,180.16
  5. Step 5: Solve for x
    x = 16,793,180.16/5,222.72
  6. Step 6: Final answer
    x = 3,215.41

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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.