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Finding the Fourth Proportional to 5,175.85, 7,765.53 and 3,229.42

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Solution

The fourth proportional to 5,175.85, 7,765.53 and 3,229.42 is: 4,845.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.85 : 7,765.53 = 3,229.42 : x
  2. Step 2: Convert to fraction form
    5,175.85/7,765.53 = 3,229.42/x
  3. Step 3: Cross multiply
    5,175.85x = 7,765.53 × 3,229.42
  4. Step 4: Simplify right side
    5,175.85x = 25,078,157.89
  5. Step 5: Solve for x
    x = 25,078,157.89/5,175.85
  6. Step 6: Final answer
    x = 4,845.23

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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.