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Finding the Fourth Proportional to 4,540.86, 6,262.11 and 4,201.47

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Solution

The fourth proportional to 4,540.86, 6,262.11 and 4,201.47 is: 5,794.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540.86 : 6,262.11 = 4,201.47 : x
  2. Step 2: Convert to fraction form
    4,540.86/6,262.11 = 4,201.47/x
  3. Step 3: Cross multiply
    4,540.86x = 6,262.11 × 4,201.47
  4. Step 4: Simplify right side
    4,540.86x = 26,310,067.30
  5. Step 5: Solve for x
    x = 26,310,067.30/4,540.86
  6. Step 6: Final answer
    x = 5,794.07

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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.