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Finding the Fourth Proportional to 3,883.80, 5,825.58 and 2,163.36

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Solution

The fourth proportional to 3,883.80, 5,825.58 and 2,163.36 is: 3,244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.80 : 5,825.58 = 2,163.36 : x
  2. Step 2: Convert to fraction form
    3,883.80/5,825.58 = 2,163.36/x
  3. Step 3: Cross multiply
    3,883.80x = 5,825.58 × 2,163.36
  4. Step 4: Simplify right side
    3,883.80x = 12,602,826.75
  5. Step 5: Solve for x
    x = 12,602,826.75/3,883.80
  6. Step 6: Final answer
    x = 3,244.97

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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.