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Finding the Fourth Proportional to 4,896.63, 6,755.71 and 2,771.87

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Solution

The fourth proportional to 4,896.63, 6,755.71 and 2,771.87 is: 3,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.63 : 6,755.71 = 2,771.87 : x
  2. Step 2: Convert to fraction form
    4,896.63/6,755.71 = 2,771.87/x
  3. Step 3: Cross multiply
    4,896.63x = 6,755.71 × 2,771.87
  4. Step 4: Simplify right side
    4,896.63x = 18,725,949.88
  5. Step 5: Solve for x
    x = 18,725,949.88/4,896.63
  6. Step 6: Final answer
    x = 3,824.25

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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.