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Finding the Fourth Proportional to 3,816, 5,724 and 1,219.14

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Solution

The fourth proportional to 3,816, 5,724 and 1,219.14 is: 1,828.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816 : 5,724 = 1,219.14 : x
  2. Step 2: Convert to fraction form
    3,816/5,724 = 1,219.14/x
  3. Step 3: Cross multiply
    3,816x = 5,724 × 1,219.14
  4. Step 4: Simplify right side
    3,816x = 6,978,357.36
  5. Step 5: Solve for x
    x = 6,978,357.36/3,816
  6. Step 6: Final answer
    x = 1,828.71

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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.