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Finding the Fourth Proportional to 5,197.96, 7,796.94 and 1,910.98

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Solution

The fourth proportional to 5,197.96, 7,796.94 and 1,910.98 is: 2,866.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.96 : 7,796.94 = 1,910.98 : x
  2. Step 2: Convert to fraction form
    5,197.96/7,796.94 = 1,910.98/x
  3. Step 3: Cross multiply
    5,197.96x = 7,796.94 × 1,910.98
  4. Step 4: Simplify right side
    5,197.96x = 14,899,796.40
  5. Step 5: Solve for x
    x = 14,899,796.40/5,197.96
  6. Step 6: Final answer
    x = 2,866.47

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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.