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Finding the Fourth Proportional to 6,016.94, 8,305.90 and 3,659.90

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Solution

The fourth proportional to 6,016.94, 8,305.90 and 3,659.90 is: 5,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.94 : 8,305.90 = 3,659.90 : x
  2. Step 2: Convert to fraction form
    6,016.94/8,305.90 = 3,659.90/x
  3. Step 3: Cross multiply
    6,016.94x = 8,305.90 × 3,659.90
  4. Step 4: Simplify right side
    6,016.94x = 30,398,712.73
  5. Step 5: Solve for x
    x = 30,398,712.73/6,016.94
  6. Step 6: Final answer
    x = 5,052.19

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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.