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Finding the Fourth Proportional to 3,816.56, 5,724.14 and 1,351.33

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Solution

The fourth proportional to 3,816.56, 5,724.14 and 1,351.33 is: 2,026.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.56 : 5,724.14 = 1,351.33 : x
  2. Step 2: Convert to fraction form
    3,816.56/5,724.14 = 1,351.33/x
  3. Step 3: Cross multiply
    3,816.56x = 5,724.14 × 1,351.33
  4. Step 4: Simplify right side
    3,816.56x = 7,735,181.04
  5. Step 5: Solve for x
    x = 7,735,181.04/3,816.56
  6. Step 6: Final answer
    x = 2,026.74

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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.