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Finding the Fourth Proportional to 3,830.16, 5,745.24 and 1,233.48

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Solution

The fourth proportional to 3,830.16, 5,745.24 and 1,233.48 is: 1,850.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.16 : 5,745.24 = 1,233.48 : x
  2. Step 2: Convert to fraction form
    3,830.16/5,745.24 = 1,233.48/x
  3. Step 3: Cross multiply
    3,830.16x = 5,745.24 × 1,233.48
  4. Step 4: Simplify right side
    3,830.16x = 7,086,638.64
  5. Step 5: Solve for x
    x = 7,086,638.64/3,830.16
  6. Step 6: Final answer
    x = 1,850.22

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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.