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Finding the Fourth Proportional to 3,760.49, 5,645.32 and 3,611.83

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Solution

The fourth proportional to 3,760.49, 5,645.32 and 3,611.83 is: 5,422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.49 : 5,645.32 = 3,611.83 : x
  2. Step 2: Convert to fraction form
    3,760.49/5,645.32 = 3,611.83/x
  3. Step 3: Cross multiply
    3,760.49x = 5,645.32 × 3,611.83
  4. Step 4: Simplify right side
    3,760.49x = 20,389,944.75
  5. Step 5: Solve for x
    x = 20,389,944.75/3,760.49
  6. Step 6: Final answer
    x = 5,422.16

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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.