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Finding the Fourth Proportional to 3,745.36, 5,611 and 3,133

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Solution

The fourth proportional to 3,745.36, 5,611 and 3,133 is: 4,693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.36 : 5,611 = 3,133 : x
  2. Step 2: Convert to fraction form
    3,745.36/5,611 = 3,133/x
  3. Step 3: Cross multiply
    3,745.36x = 5,611 × 3,133
  4. Step 4: Simplify right side
    3,745.36x = 17,579,263
  5. Step 5: Solve for x
    x = 17,579,263/3,745.36
  6. Step 6: Final answer
    x = 4,693.61

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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.