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Finding the Fourth Proportional to 5,199.82, 7,790.96 and 2,563.80

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Solution

The fourth proportional to 5,199.82, 7,790.96 and 2,563.80 is: 3,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.82 : 7,790.96 = 2,563.80 : x
  2. Step 2: Convert to fraction form
    5,199.82/7,790.96 = 2,563.80/x
  3. Step 3: Cross multiply
    5,199.82x = 7,790.96 × 2,563.80
  4. Step 4: Simplify right side
    5,199.82x = 19,974,477.05
  5. Step 5: Solve for x
    x = 19,974,477.05/5,199.82
  6. Step 6: Final answer
    x = 3,841.38

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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.