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Finding the Fourth Proportional to 3,828.34, 5,743.47 and 1,231.22

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Solution

The fourth proportional to 3,828.34, 5,743.47 and 1,231.22 is: 1,847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.34 : 5,743.47 = 1,231.22 : x
  2. Step 2: Convert to fraction form
    3,828.34/5,743.47 = 1,231.22/x
  3. Step 3: Cross multiply
    3,828.34x = 5,743.47 × 1,231.22
  4. Step 4: Simplify right side
    3,828.34x = 7,071,475.13
  5. Step 5: Solve for x
    x = 7,071,475.13/3,828.34
  6. Step 6: Final answer
    x = 1,847.14

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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.