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Finding the Fourth Proportional to 5,524.86, 7,622.42 and 3,134.57

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Solution

The fourth proportional to 5,524.86, 7,622.42 and 3,134.57 is: 4,324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524.86 : 7,622.42 = 3,134.57 : x
  2. Step 2: Convert to fraction form
    5,524.86/7,622.42 = 3,134.57/x
  3. Step 3: Cross multiply
    5,524.86x = 7,622.42 × 3,134.57
  4. Step 4: Simplify right side
    5,524.86x = 23,892,972.91
  5. Step 5: Solve for x
    x = 23,892,972.91/5,524.86
  6. Step 6: Final answer
    x = 4,324.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.