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Finding the Fourth Proportional to 5,685.14, 7,845.30 and 3,167.26

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Solution

The fourth proportional to 5,685.14, 7,845.30 and 3,167.26 is: 4,370.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.14 : 7,845.30 = 3,167.26 : x
  2. Step 2: Convert to fraction form
    5,685.14/7,845.30 = 3,167.26/x
  3. Step 3: Cross multiply
    5,685.14x = 7,845.30 × 3,167.26
  4. Step 4: Simplify right side
    5,685.14x = 24,848,104.88
  5. Step 5: Solve for x
    x = 24,848,104.88/5,685.14
  6. Step 6: Final answer
    x = 4,370.71

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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.