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Finding the Fourth Proportional to 5,197.66, 7,799.91 and 1,910.79

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Solution

The fourth proportional to 5,197.66, 7,799.91 and 1,910.79 is: 2,867.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.66 : 7,799.91 = 1,910.79 : x
  2. Step 2: Convert to fraction form
    5,197.66/7,799.91 = 1,910.79/x
  3. Step 3: Cross multiply
    5,197.66x = 7,799.91 × 1,910.79
  4. Step 4: Simplify right side
    5,197.66x = 14,903,990.03
  5. Step 5: Solve for x
    x = 14,903,990.03/5,197.66
  6. Step 6: Final answer
    x = 2,867.44

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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.