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Finding the Fourth Proportional to 3,825.97, 5,738.78 and 1,052.93

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Solution

The fourth proportional to 3,825.97, 5,738.78 and 1,052.93 is: 1,579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.97 : 5,738.78 = 1,052.93 : x
  2. Step 2: Convert to fraction form
    3,825.97/5,738.78 = 1,052.93/x
  3. Step 3: Cross multiply
    3,825.97x = 5,738.78 × 1,052.93
  4. Step 4: Simplify right side
    3,825.97x = 6,042,550.60
  5. Step 5: Solve for x
    x = 6,042,550.60/3,825.97
  6. Step 6: Final answer
    x = 1,579.35

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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.