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Finding the Fourth Proportional to 3,828.96, 5,743.38 and 2,182

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Solution

The fourth proportional to 3,828.96, 5,743.38 and 2,182 is: 3,272.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.96 : 5,743.38 = 2,182 : x
  2. Step 2: Convert to fraction form
    3,828.96/5,743.38 = 2,182/x
  3. Step 3: Cross multiply
    3,828.96x = 5,743.38 × 2,182
  4. Step 4: Simplify right side
    3,828.96x = 12,532,055.16
  5. Step 5: Solve for x
    x = 12,532,055.16/3,828.96
  6. Step 6: Final answer
    x = 3,272.97

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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.