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Finding the Fourth Proportional to 3,825.58, 5,738.37 and 1,230.34

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Solution

The fourth proportional to 3,825.58, 5,738.37 and 1,230.34 is: 1,845.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.58 : 5,738.37 = 1,230.34 : x
  2. Step 2: Convert to fraction form
    3,825.58/5,738.37 = 1,230.34/x
  3. Step 3: Cross multiply
    3,825.58x = 5,738.37 × 1,230.34
  4. Step 4: Simplify right side
    3,825.58x = 7,060,146.15
  5. Step 5: Solve for x
    x = 7,060,146.15/3,825.58
  6. Step 6: Final answer
    x = 1,845.51

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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.