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Finding the Fourth Proportional to 3,812.84, 5,719.88 and 1,179.73

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Solution

The fourth proportional to 3,812.84, 5,719.88 and 1,179.73 is: 1,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.84 : 5,719.88 = 1,179.73 : x
  2. Step 2: Convert to fraction form
    3,812.84/5,719.88 = 1,179.73/x
  3. Step 3: Cross multiply
    3,812.84x = 5,719.88 × 1,179.73
  4. Step 4: Simplify right side
    3,812.84x = 6,747,924.13
  5. Step 5: Solve for x
    x = 6,747,924.13/3,812.84
  6. Step 6: Final answer
    x = 1,769.79

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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.