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Finding the Fourth Proportional to 3,832.96, 5,289.09 and 2,341.24

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Solution

The fourth proportional to 3,832.96, 5,289.09 and 2,341.24 is: 3,230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.96 : 5,289.09 = 2,341.24 : x
  2. Step 2: Convert to fraction form
    3,832.96/5,289.09 = 2,341.24/x
  3. Step 3: Cross multiply
    3,832.96x = 5,289.09 × 2,341.24
  4. Step 4: Simplify right side
    3,832.96x = 12,383,029.07
  5. Step 5: Solve for x
    x = 12,383,029.07/3,832.96
  6. Step 6: Final answer
    x = 3,230.67

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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.