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Finding the Fourth Proportional to 5,939.73, 8,194.87 and 3,420.93

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Solution

The fourth proportional to 5,939.73, 8,194.87 and 3,420.93 is: 4,719.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,939.73 : 8,194.87 = 3,420.93 : x
  2. Step 2: Convert to fraction form
    5,939.73/8,194.87 = 3,420.93/x
  3. Step 3: Cross multiply
    5,939.73x = 8,194.87 × 3,420.93
  4. Step 4: Simplify right side
    5,939.73x = 28,034,111.64
  5. Step 5: Solve for x
    x = 28,034,111.64/5,939.73
  6. Step 6: Final answer
    x = 4,719.76

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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.