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Finding the Fourth Proportional to 5,183.02, 7,770.42 and 5,176.64

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Solution

The fourth proportional to 5,183.02, 7,770.42 and 5,176.64 is: 7,760.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.02 : 7,770.42 = 5,176.64 : x
  2. Step 2: Convert to fraction form
    5,183.02/7,770.42 = 5,176.64/x
  3. Step 3: Cross multiply
    5,183.02x = 7,770.42 × 5,176.64
  4. Step 4: Simplify right side
    5,183.02x = 40,224,668.19
  5. Step 5: Solve for x
    x = 40,224,668.19/5,183.02
  6. Step 6: Final answer
    x = 7,760.86

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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.