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Finding the Fourth Proportional to 5,836.50, 8,054.37 and 3,743.46

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Solution

The fourth proportional to 5,836.50, 8,054.37 and 3,743.46 is: 5,165.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.50 : 8,054.37 = 3,743.46 : x
  2. Step 2: Convert to fraction form
    5,836.50/8,054.37 = 3,743.46/x
  3. Step 3: Cross multiply
    5,836.50x = 8,054.37 × 3,743.46
  4. Step 4: Simplify right side
    5,836.50x = 30,151,211.92
  5. Step 5: Solve for x
    x = 30,151,211.92/5,836.50
  6. Step 6: Final answer
    x = 5,165.97

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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.