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Finding the Fourth Proportional to 5,197.72, 7,796.85 and 2,599.78

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Solution

The fourth proportional to 5,197.72, 7,796.85 and 2,599.78 is: 3,899.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.72 : 7,796.85 = 2,599.78 : x
  2. Step 2: Convert to fraction form
    5,197.72/7,796.85 = 2,599.78/x
  3. Step 3: Cross multiply
    5,197.72x = 7,796.85 × 2,599.78
  4. Step 4: Simplify right side
    5,197.72x = 20,270,094.69
  5. Step 5: Solve for x
    x = 20,270,094.69/5,197.72
  6. Step 6: Final answer
    x = 3,899.81

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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.