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Finding the Fourth Proportional to 4,071.69, 5,617.22 and 2,743.09

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Solution

The fourth proportional to 4,071.69, 5,617.22 and 2,743.09 is: 3,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.69 : 5,617.22 = 2,743.09 : x
  2. Step 2: Convert to fraction form
    4,071.69/5,617.22 = 2,743.09/x
  3. Step 3: Cross multiply
    4,071.69x = 5,617.22 × 2,743.09
  4. Step 4: Simplify right side
    4,071.69x = 15,408,512.25
  5. Step 5: Solve for x
    x = 15,408,512.25/4,071.69
  6. Step 6: Final answer
    x = 3,784.30

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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.