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Finding the Fourth Proportional to 4,863.07, 7,292.82 and 3,825.10

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Solution

The fourth proportional to 4,863.07, 7,292.82 and 3,825.10 is: 5,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.07 : 7,292.82 = 3,825.10 : x
  2. Step 2: Convert to fraction form
    4,863.07/7,292.82 = 3,825.10/x
  3. Step 3: Cross multiply
    4,863.07x = 7,292.82 × 3,825.10
  4. Step 4: Simplify right side
    4,863.07x = 27,895,765.78
  5. Step 5: Solve for x
    x = 27,895,765.78/4,863.07
  6. Step 6: Final answer
    x = 5,736.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.