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Finding the Fourth Proportional to 3,682.06, 5,519.08 and 1,834.54

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Solution

The fourth proportional to 3,682.06, 5,519.08 and 1,834.54 is: 2,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.06 : 5,519.08 = 1,834.54 : x
  2. Step 2: Convert to fraction form
    3,682.06/5,519.08 = 1,834.54/x
  3. Step 3: Cross multiply
    3,682.06x = 5,519.08 × 1,834.54
  4. Step 4: Simplify right side
    3,682.06x = 10,124,973.02
  5. Step 5: Solve for x
    x = 10,124,973.02/3,682.06
  6. Step 6: Final answer
    x = 2,749.81

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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.