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Finding the Fourth Proportional to 3,633.81, 5,015.20 and 2,218.32

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Solution

The fourth proportional to 3,633.81, 5,015.20 and 2,218.32 is: 3,061.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.81 : 5,015.20 = 2,218.32 : x
  2. Step 2: Convert to fraction form
    3,633.81/5,015.20 = 2,218.32/x
  3. Step 3: Cross multiply
    3,633.81x = 5,015.20 × 2,218.32
  4. Step 4: Simplify right side
    3,633.81x = 11,125,321.15
  5. Step 5: Solve for x
    x = 11,125,321.15/3,633.81
  6. Step 6: Final answer
    x = 3,061.61

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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.