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Finding the Fourth Proportional to 3,816.96, 5,724.66 and 1,351.74

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Solution

The fourth proportional to 3,816.96, 5,724.66 and 1,351.74 is: 2,027.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.96 : 5,724.66 = 1,351.74 : x
  2. Step 2: Convert to fraction form
    3,816.96/5,724.66 = 1,351.74/x
  3. Step 3: Cross multiply
    3,816.96x = 5,724.66 × 1,351.74
  4. Step 4: Simplify right side
    3,816.96x = 7,738,251.91
  5. Step 5: Solve for x
    x = 7,738,251.91/3,816.96
  6. Step 6: Final answer
    x = 2,027.33

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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.