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Finding the Fourth Proportional to 3,682.75, 5,528.21 and 1,833.37

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Solution

The fourth proportional to 3,682.75, 5,528.21 and 1,833.37 is: 2,752.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.75 : 5,528.21 = 1,833.37 : x
  2. Step 2: Convert to fraction form
    3,682.75/5,528.21 = 1,833.37/x
  3. Step 3: Cross multiply
    3,682.75x = 5,528.21 × 1,833.37
  4. Step 4: Simplify right side
    3,682.75x = 10,135,254.37
  5. Step 5: Solve for x
    x = 10,135,254.37/3,682.75
  6. Step 6: Final answer
    x = 2,752.09

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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.