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Finding the Fourth Proportional to 3,832.87, 5,289.18 and 2,343.28

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Solution

The fourth proportional to 3,832.87, 5,289.18 and 2,343.28 is: 3,233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.87 : 5,289.18 = 2,343.28 : x
  2. Step 2: Convert to fraction form
    3,832.87/5,289.18 = 2,343.28/x
  3. Step 3: Cross multiply
    3,832.87x = 5,289.18 × 2,343.28
  4. Step 4: Simplify right side
    3,832.87x = 12,394,029.71
  5. Step 5: Solve for x
    x = 12,394,029.71/3,832.87
  6. Step 6: Final answer
    x = 3,233.62

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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.