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Finding the Fourth Proportional to 5,166.20, 7,749.30 and 3,092.60

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Solution

The fourth proportional to 5,166.20, 7,749.30 and 3,092.60 is: 4,638.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.20 : 7,749.30 = 3,092.60 : x
  2. Step 2: Convert to fraction form
    5,166.20/7,749.30 = 3,092.60/x
  3. Step 3: Cross multiply
    5,166.20x = 7,749.30 × 3,092.60
  4. Step 4: Simplify right side
    5,166.20x = 23,965,485.18
  5. Step 5: Solve for x
    x = 23,965,485.18/5,166.20
  6. Step 6: Final answer
    x = 4,638.90

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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.