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Finding the Fourth Proportional to 5,197.05, 7,798.99 and 1,910.17

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Solution

The fourth proportional to 5,197.05, 7,798.99 and 1,910.17 is: 2,866.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.05 : 7,798.99 = 1,910.17 : x
  2. Step 2: Convert to fraction form
    5,197.05/7,798.99 = 1,910.17/x
  3. Step 3: Cross multiply
    5,197.05x = 7,798.99 × 1,910.17
  4. Step 4: Simplify right side
    5,197.05x = 14,897,396.73
  5. Step 5: Solve for x
    x = 14,897,396.73/5,197.05
  6. Step 6: Final answer
    x = 2,866.51

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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.