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Finding the Fourth Proportional to 3,812.67, 5,719.19 and 1,181.99

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Solution

The fourth proportional to 3,812.67, 5,719.19 and 1,181.99 is: 1,773.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.67 : 5,719.19 = 1,181.99 : x
  2. Step 2: Convert to fraction form
    3,812.67/5,719.19 = 1,181.99/x
  3. Step 3: Cross multiply
    3,812.67x = 5,719.19 × 1,181.99
  4. Step 4: Simplify right side
    3,812.67x = 6,760,033.78
  5. Step 5: Solve for x
    x = 6,760,033.78/3,812.67
  6. Step 6: Final answer
    x = 1,773.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.