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Finding the Fourth Proportional to 3,832.69, 5,289.26 and 2,341.28

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Solution

The fourth proportional to 3,832.69, 5,289.26 and 2,341.28 is: 3,231.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.69 : 5,289.26 = 2,341.28 : x
  2. Step 2: Convert to fraction form
    3,832.69/5,289.26 = 2,341.28/x
  3. Step 3: Cross multiply
    3,832.69x = 5,289.26 × 2,341.28
  4. Step 4: Simplify right side
    3,832.69x = 12,383,638.65
  5. Step 5: Solve for x
    x = 12,383,638.65/3,832.69
  6. Step 6: Final answer
    x = 3,231.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.