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Finding the Fourth Proportional to 3,825.71, 5,738.22 and 1,052.29

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Solution

The fourth proportional to 3,825.71, 5,738.22 and 1,052.29 is: 1,578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.71 : 5,738.22 = 1,052.29 : x
  2. Step 2: Convert to fraction form
    3,825.71/5,738.22 = 1,052.29/x
  3. Step 3: Cross multiply
    3,825.71x = 5,738.22 × 1,052.29
  4. Step 4: Simplify right side
    3,825.71x = 6,038,257.18
  5. Step 5: Solve for x
    x = 6,038,257.18/3,825.71
  6. Step 6: Final answer
    x = 1,578.34

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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.