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Finding the Fourth Proportional to 5,196.96, 7,796.51 and 1,910.09

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Solution

The fourth proportional to 5,196.96, 7,796.51 and 1,910.09 is: 2,865.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.96 : 7,796.51 = 1,910.09 : x
  2. Step 2: Convert to fraction form
    5,196.96/7,796.51 = 1,910.09/x
  3. Step 3: Cross multiply
    5,196.96x = 7,796.51 × 1,910.09
  4. Step 4: Simplify right side
    5,196.96x = 14,891,987.25
  5. Step 5: Solve for x
    x = 14,891,987.25/5,196.96
  6. Step 6: Final answer
    x = 2,865.52

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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.