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Finding the Fourth Proportional to 3,675.64, 5,512.24 and 2,032.96

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Solution

The fourth proportional to 3,675.64, 5,512.24 and 2,032.96 is: 3,048.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.64 : 5,512.24 = 2,032.96 : x
  2. Step 2: Convert to fraction form
    3,675.64/5,512.24 = 2,032.96/x
  3. Step 3: Cross multiply
    3,675.64x = 5,512.24 × 2,032.96
  4. Step 4: Simplify right side
    3,675.64x = 11,206,163.43
  5. Step 5: Solve for x
    x = 11,206,163.43/3,675.64
  6. Step 6: Final answer
    x = 3,048.77

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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.