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Finding the Fourth Proportional to 3,399.96, 4,694.22 and 2,003.16

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Solution

The fourth proportional to 3,399.96, 4,694.22 and 2,003.16 is: 2,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.96 : 4,694.22 = 2,003.16 : x
  2. Step 2: Convert to fraction form
    3,399.96/4,694.22 = 2,003.16/x
  3. Step 3: Cross multiply
    3,399.96x = 4,694.22 × 2,003.16
  4. Step 4: Simplify right side
    3,399.96x = 9,403,273.74
  5. Step 5: Solve for x
    x = 9,403,273.74/3,399.96
  6. Step 6: Final answer
    x = 2,765.70

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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.