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Finding the Fourth Proportional to 5,716.24, 8,576.20 and 2,794.80

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Solution

The fourth proportional to 5,716.24, 8,576.20 and 2,794.80 is: 4,193.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.24 : 8,576.20 = 2,794.80 : x
  2. Step 2: Convert to fraction form
    5,716.24/8,576.20 = 2,794.80/x
  3. Step 3: Cross multiply
    5,716.24x = 8,576.20 × 2,794.80
  4. Step 4: Simplify right side
    5,716.24x = 23,968,763.76
  5. Step 5: Solve for x
    x = 23,968,763.76/5,716.24
  6. Step 6: Final answer
    x = 4,193.10

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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.