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Finding the Fourth Proportional to 5,191.09, 7,786.37 and 2,855.66

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Solution

The fourth proportional to 5,191.09, 7,786.37 and 2,855.66 is: 4,283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.09 : 7,786.37 = 2,855.66 : x
  2. Step 2: Convert to fraction form
    5,191.09/7,786.37 = 2,855.66/x
  3. Step 3: Cross multiply
    5,191.09x = 7,786.37 × 2,855.66
  4. Step 4: Simplify right side
    5,191.09x = 22,235,213.03
  5. Step 5: Solve for x
    x = 22,235,213.03/5,191.09
  6. Step 6: Final answer
    x = 4,283.34

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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.