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Finding the Fourth Proportional to 5,144.86, 7,099.94 and 2,906.78

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Solution

The fourth proportional to 5,144.86, 7,099.94 and 2,906.78 is: 4,011.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.86 : 7,099.94 = 2,906.78 : x
  2. Step 2: Convert to fraction form
    5,144.86/7,099.94 = 2,906.78/x
  3. Step 3: Cross multiply
    5,144.86x = 7,099.94 × 2,906.78
  4. Step 4: Simplify right side
    5,144.86x = 20,637,963.59
  5. Step 5: Solve for x
    x = 20,637,963.59/5,144.86
  6. Step 6: Final answer
    x = 4,011.38

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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.