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Finding the Fourth Proportional to 4,757.26, 6,564.57 and 2,767.78

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Solution

The fourth proportional to 4,757.26, 6,564.57 and 2,767.78 is: 3,819.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.26 : 6,564.57 = 2,767.78 : x
  2. Step 2: Convert to fraction form
    4,757.26/6,564.57 = 2,767.78/x
  3. Step 3: Cross multiply
    4,757.26x = 6,564.57 × 2,767.78
  4. Step 4: Simplify right side
    4,757.26x = 18,169,285.55
  5. Step 5: Solve for x
    x = 18,169,285.55/4,757.26
  6. Step 6: Final answer
    x = 3,819.28

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