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Finding the Fourth Proportional to 5,199.09, 7,797.42 and 2,563.89

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Solution

The fourth proportional to 5,199.09, 7,797.42 and 2,563.89 is: 3,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.09 : 7,797.42 = 2,563.89 : x
  2. Step 2: Convert to fraction form
    5,199.09/7,797.42 = 2,563.89/x
  3. Step 3: Cross multiply
    5,199.09x = 7,797.42 × 2,563.89
  4. Step 4: Simplify right side
    5,199.09x = 19,991,727.16
  5. Step 5: Solve for x
    x = 19,991,727.16/5,199.09
  6. Step 6: Final answer
    x = 3,845.24

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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.