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Finding the Fourth Proportional to 5,538.92, 7,650.09 and 4,033.21

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Solution

The fourth proportional to 5,538.92, 7,650.09 and 4,033.21 is: 5,570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.92 : 7,650.09 = 4,033.21 : x
  2. Step 2: Convert to fraction form
    5,538.92/7,650.09 = 4,033.21/x
  3. Step 3: Cross multiply
    5,538.92x = 7,650.09 × 4,033.21
  4. Step 4: Simplify right side
    5,538.92x = 30,854,419.49
  5. Step 5: Solve for x
    x = 30,854,419.49/5,538.92
  6. Step 6: Final answer
    x = 5,570.48

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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.