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Finding the Fourth Proportional to 5,167.44, 7,749.60 and 1,469.97

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Solution

The fourth proportional to 5,167.44, 7,749.60 and 1,469.97 is: 2,204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.44 : 7,749.60 = 1,469.97 : x
  2. Step 2: Convert to fraction form
    5,167.44/7,749.60 = 1,469.97/x
  3. Step 3: Cross multiply
    5,167.44x = 7,749.60 × 1,469.97
  4. Step 4: Simplify right side
    5,167.44x = 11,391,679.51
  5. Step 5: Solve for x
    x = 11,391,679.51/5,167.44
  6. Step 6: Final answer
    x = 2,204.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.