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Finding the Fourth Proportional to 5,540.69, 7,646.19 and 3,022.82

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Solution

The fourth proportional to 5,540.69, 7,646.19 and 3,022.82 is: 4,171.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540.69 : 7,646.19 = 3,022.82 : x
  2. Step 2: Convert to fraction form
    5,540.69/7,646.19 = 3,022.82/x
  3. Step 3: Cross multiply
    5,540.69x = 7,646.19 × 3,022.82
  4. Step 4: Simplify right side
    5,540.69x = 23,113,017.82
  5. Step 5: Solve for x
    x = 23,113,017.82/5,540.69
  6. Step 6: Final answer
    x = 4,171.51

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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.