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Finding the Fourth Proportional to 4,801.72, 7,201.66 and 2,027.48

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Solution

The fourth proportional to 4,801.72, 7,201.66 and 2,027.48 is: 3,040.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.72 : 7,201.66 = 2,027.48 : x
  2. Step 2: Convert to fraction form
    4,801.72/7,201.66 = 2,027.48/x
  3. Step 3: Cross multiply
    4,801.72x = 7,201.66 × 2,027.48
  4. Step 4: Simplify right side
    4,801.72x = 14,601,221.62
  5. Step 5: Solve for x
    x = 14,601,221.62/4,801.72
  6. Step 6: Final answer
    x = 3,040.83

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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.