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Finding the Fourth Proportional to 5,840.68, 8,059.92 and 3,188.12

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Solution

The fourth proportional to 5,840.68, 8,059.92 and 3,188.12 is: 4,399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840.68 : 8,059.92 = 3,188.12 : x
  2. Step 2: Convert to fraction form
    5,840.68/8,059.92 = 3,188.12/x
  3. Step 3: Cross multiply
    5,840.68x = 8,059.92 × 3,188.12
  4. Step 4: Simplify right side
    5,840.68x = 25,695,992.15
  5. Step 5: Solve for x
    x = 25,695,992.15/5,840.68
  6. Step 6: Final answer
    x = 4,399.49

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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.