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Finding the Fourth Proportional to 5,194.40, 7,791.60 and 1,731.20

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Solution

The fourth proportional to 5,194.40, 7,791.60 and 1,731.20 is: 2,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.40 : 7,791.60 = 1,731.20 : x
  2. Step 2: Convert to fraction form
    5,194.40/7,791.60 = 1,731.20/x
  3. Step 3: Cross multiply
    5,194.40x = 7,791.60 × 1,731.20
  4. Step 4: Simplify right side
    5,194.40x = 13,488,817.92
  5. Step 5: Solve for x
    x = 13,488,817.92/5,194.40
  6. Step 6: Final answer
    x = 2,596.80

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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.