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Finding the Fourth Proportional to 4,906.28, 6,771.57 and 2,918

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Solution

The fourth proportional to 4,906.28, 6,771.57 and 2,918 is: 4,027.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.28 : 6,771.57 = 2,918 : x
  2. Step 2: Convert to fraction form
    4,906.28/6,771.57 = 2,918/x
  3. Step 3: Cross multiply
    4,906.28x = 6,771.57 × 2,918
  4. Step 4: Simplify right side
    4,906.28x = 19,759,441.26
  5. Step 5: Solve for x
    x = 19,759,441.26/4,906.28
  6. Step 6: Final answer
    x = 4,027.38

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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.