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Finding the Fourth Proportional to 3,816.92, 5,718.55 and 1,350.17

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Solution

The fourth proportional to 3,816.92, 5,718.55 and 1,350.17 is: 2,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.92 : 5,718.55 = 1,350.17 : x
  2. Step 2: Convert to fraction form
    3,816.92/5,718.55 = 1,350.17/x
  3. Step 3: Cross multiply
    3,816.92x = 5,718.55 × 1,350.17
  4. Step 4: Simplify right side
    3,816.92x = 7,721,014.65
  5. Step 5: Solve for x
    x = 7,721,014.65/3,816.92
  6. Step 6: Final answer
    x = 2,022.84

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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.