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Finding the Fourth Proportional to 5,166.38, 7,749.50 and 1,270.82

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Solution

The fourth proportional to 5,166.38, 7,749.50 and 1,270.82 is: 1,906.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.38 : 7,749.50 = 1,270.82 : x
  2. Step 2: Convert to fraction form
    5,166.38/7,749.50 = 1,270.82/x
  3. Step 3: Cross multiply
    5,166.38x = 7,749.50 × 1,270.82
  4. Step 4: Simplify right side
    5,166.38x = 9,848,219.59
  5. Step 5: Solve for x
    x = 9,848,219.59/5,166.38
  6. Step 6: Final answer
    x = 1,906.21

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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.