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Finding the Fourth Proportional to 3,883.52, 5,832.16 and 3,675.96

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Solution

The fourth proportional to 3,883.52, 5,832.16 and 3,675.96 is: 5,520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.52 : 5,832.16 = 3,675.96 : x
  2. Step 2: Convert to fraction form
    3,883.52/5,832.16 = 3,675.96/x
  3. Step 3: Cross multiply
    3,883.52x = 5,832.16 × 3,675.96
  4. Step 4: Simplify right side
    3,883.52x = 21,438,786.87
  5. Step 5: Solve for x
    x = 21,438,786.87/3,883.52
  6. Step 6: Final answer
    x = 5,520.45

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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.