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Finding the Fourth Proportional to 4,147.74, 5,726.05 and 3,201.48

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Solution

The fourth proportional to 4,147.74, 5,726.05 and 3,201.48 is: 4,419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.74 : 5,726.05 = 3,201.48 : x
  2. Step 2: Convert to fraction form
    4,147.74/5,726.05 = 3,201.48/x
  3. Step 3: Cross multiply
    4,147.74x = 5,726.05 × 3,201.48
  4. Step 4: Simplify right side
    4,147.74x = 18,331,826.55
  5. Step 5: Solve for x
    x = 18,331,826.55/4,147.74
  6. Step 6: Final answer
    x = 4,419.71

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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.