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Finding the Fourth Proportional to 3,782.03, 5,664.24 and 3,650.67

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Solution

The fourth proportional to 3,782.03, 5,664.24 and 3,650.67 is: 5,467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.03 : 5,664.24 = 3,650.67 : x
  2. Step 2: Convert to fraction form
    3,782.03/5,664.24 = 3,650.67/x
  3. Step 3: Cross multiply
    3,782.03x = 5,664.24 × 3,650.67
  4. Step 4: Simplify right side
    3,782.03x = 20,678,271.04
  5. Step 5: Solve for x
    x = 20,678,271.04/3,782.03
  6. Step 6: Final answer
    x = 5,467.51

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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.