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Finding the Fourth Proportional to 5,540.58, 7,645.96 and 3,022.65

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Solution

The fourth proportional to 5,540.58, 7,645.96 and 3,022.65 is: 4,171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540.58 : 7,645.96 = 3,022.65 : x
  2. Step 2: Convert to fraction form
    5,540.58/7,645.96 = 3,022.65/x
  3. Step 3: Cross multiply
    5,540.58x = 7,645.96 × 3,022.65
  4. Step 4: Simplify right side
    5,540.58x = 23,111,060.99
  5. Step 5: Solve for x
    x = 23,111,060.99/5,540.58
  6. Step 6: Final answer
    x = 4,171.23

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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.