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Finding the Fourth Proportional to 3,832.33, 5,744.40 and 2,185.33

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Solution

The fourth proportional to 3,832.33, 5,744.40 and 2,185.33 is: 3,275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.33 : 5,744.40 = 2,185.33 : x
  2. Step 2: Convert to fraction form
    3,832.33/5,744.40 = 2,185.33/x
  3. Step 3: Cross multiply
    3,832.33x = 5,744.40 × 2,185.33
  4. Step 4: Simplify right side
    3,832.33x = 12,553,409.65
  5. Step 5: Solve for x
    x = 12,553,409.65/3,832.33
  6. Step 6: Final answer
    x = 3,275.66

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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.