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Finding the Fourth Proportional to 5,840.92, 8,060.61 and 3,188.31

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Solution

The fourth proportional to 5,840.92, 8,060.61 and 3,188.31 is: 4,399.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840.92 : 8,060.61 = 3,188.31 : x
  2. Step 2: Convert to fraction form
    5,840.92/8,060.61 = 3,188.31/x
  3. Step 3: Cross multiply
    5,840.92x = 8,060.61 × 3,188.31
  4. Step 4: Simplify right side
    5,840.92x = 25,699,723.47
  5. Step 5: Solve for x
    x = 25,699,723.47/5,840.92
  6. Step 6: Final answer
    x = 4,399.94

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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.