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Finding the Fourth Proportional to 4,232.22, 5,826.82 and 3,633.53

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Solution

The fourth proportional to 4,232.22, 5,826.82 and 3,633.53 is: 5,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.22 : 5,826.82 = 3,633.53 : x
  2. Step 2: Convert to fraction form
    4,232.22/5,826.82 = 3,633.53/x
  3. Step 3: Cross multiply
    4,232.22x = 5,826.82 × 3,633.53
  4. Step 4: Simplify right side
    4,232.22x = 21,171,922.53
  5. Step 5: Solve for x
    x = 21,171,922.53/4,232.22
  6. Step 6: Final answer
    x = 5,002.56

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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.