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Finding the Fourth Proportional to 4,896.64, 6,755.70 and 2,771.88

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Solution

The fourth proportional to 4,896.64, 6,755.70 and 2,771.88 is: 3,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.64 : 6,755.70 = 2,771.88 : x
  2. Step 2: Convert to fraction form
    4,896.64/6,755.70 = 2,771.88/x
  3. Step 3: Cross multiply
    4,896.64x = 6,755.70 × 2,771.88
  4. Step 4: Simplify right side
    4,896.64x = 18,725,989.72
  5. Step 5: Solve for x
    x = 18,725,989.72/4,896.64
  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.