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Finding the Fourth Proportional to 3,834.81, 5,745.04 and 2,186.37

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Solution

The fourth proportional to 3,834.81, 5,745.04 and 2,186.37 is: 3,275.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.81 : 5,745.04 = 2,186.37 : x
  2. Step 2: Convert to fraction form
    3,834.81/5,745.04 = 2,186.37/x
  3. Step 3: Cross multiply
    3,834.81x = 5,745.04 × 2,186.37
  4. Step 4: Simplify right side
    3,834.81x = 12,560,777.64
  5. Step 5: Solve for x
    x = 12,560,777.64/3,834.81
  6. Step 6: Final answer
    x = 3,275.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.