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Finding the Fourth Proportional to 3,825.63, 5,737.50 and 1,634.13

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Solution

The fourth proportional to 3,825.63, 5,737.50 and 1,634.13 is: 2,450.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.63 : 5,737.50 = 1,634.13 : x
  2. Step 2: Convert to fraction form
    3,825.63/5,737.50 = 1,634.13/x
  3. Step 3: Cross multiply
    3,825.63x = 5,737.50 × 1,634.13
  4. Step 4: Simplify right side
    3,825.63x = 9,375,820.88
  5. Step 5: Solve for x
    x = 9,375,820.88/3,825.63
  6. Step 6: Final answer
    x = 2,450.79

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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.