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Finding the Fourth Proportional to 3,758.88, 5,638.96 and 2,004.96

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Solution

The fourth proportional to 3,758.88, 5,638.96 and 2,004.96 is: 3,007.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.88 : 5,638.96 = 2,004.96 : x
  2. Step 2: Convert to fraction form
    3,758.88/5,638.96 = 2,004.96/x
  3. Step 3: Cross multiply
    3,758.88x = 5,638.96 × 2,004.96
  4. Step 4: Simplify right side
    3,758.88x = 11,305,889.24
  5. Step 5: Solve for x
    x = 11,305,889.24/3,758.88
  6. Step 6: Final answer
    x = 3,007.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.