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Finding the Fourth Proportional to 5,942.55, 8,201.02 and 3,425.07

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Solution

The fourth proportional to 5,942.55, 8,201.02 and 3,425.07 is: 4,726.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.55 : 8,201.02 = 3,425.07 : x
  2. Step 2: Convert to fraction form
    5,942.55/8,201.02 = 3,425.07/x
  3. Step 3: Cross multiply
    5,942.55x = 8,201.02 × 3,425.07
  4. Step 4: Simplify right side
    5,942.55x = 28,089,067.57
  5. Step 5: Solve for x
    x = 28,089,067.57/5,942.55
  6. Step 6: Final answer
    x = 4,726.77

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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.