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Finding the Fourth Proportional to 5,643.81, 8,463.37 and 2,133.21

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Solution

The fourth proportional to 5,643.81, 8,463.37 and 2,133.21 is: 3,198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.81 : 8,463.37 = 2,133.21 : x
  2. Step 2: Convert to fraction form
    5,643.81/8,463.37 = 2,133.21/x
  3. Step 3: Cross multiply
    5,643.81x = 8,463.37 × 2,133.21
  4. Step 4: Simplify right side
    5,643.81x = 18,054,092.53
  5. Step 5: Solve for x
    x = 18,054,092.53/5,643.81
  6. Step 6: Final answer
    x = 3,198.92

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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.