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Finding the Fourth Proportional to 5,196.96, 7,795.98 and 1,910.12

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Solution

The fourth proportional to 5,196.96, 7,795.98 and 1,910.12 is: 2,865.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.96 : 7,795.98 = 1,910.12 : x
  2. Step 2: Convert to fraction form
    5,196.96/7,795.98 = 1,910.12/x
  3. Step 3: Cross multiply
    5,196.96x = 7,795.98 × 1,910.12
  4. Step 4: Simplify right side
    5,196.96x = 14,891,218.34
  5. Step 5: Solve for x
    x = 14,891,218.34/5,196.96
  6. Step 6: Final answer
    x = 2,865.37

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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.