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Finding the Fourth Proportional to 4,760.22, 7,139.07 and 3,201.48

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Solution

The fourth proportional to 4,760.22, 7,139.07 and 3,201.48 is: 4,801.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.22 : 7,139.07 = 3,201.48 : x
  2. Step 2: Convert to fraction form
    4,760.22/7,139.07 = 3,201.48/x
  3. Step 3: Cross multiply
    4,760.22x = 7,139.07 × 3,201.48
  4. Step 4: Simplify right side
    4,760.22x = 22,855,589.82
  5. Step 5: Solve for x
    x = 22,855,589.82/4,760.22
  6. Step 6: Final answer
    x = 4,801.37

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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.