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Finding the Fourth Proportional to 5,729.22, 8,576.53 and 5,181.66

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Solution

The fourth proportional to 5,729.22, 8,576.53 and 5,181.66 is: 7,756.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.22 : 8,576.53 = 5,181.66 : x
  2. Step 2: Convert to fraction form
    5,729.22/8,576.53 = 5,181.66/x
  3. Step 3: Cross multiply
    5,729.22x = 8,576.53 × 5,181.66
  4. Step 4: Simplify right side
    5,729.22x = 44,440,662.44
  5. Step 5: Solve for x
    x = 44,440,662.44/5,729.22
  6. Step 6: Final answer
    x = 7,756.84

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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.