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Finding the Fourth Proportional to 3,760.80, 5,635.04 and 3,616.80

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Solution

The fourth proportional to 3,760.80, 5,635.04 and 3,616.80 is: 5,419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.80 : 5,635.04 = 3,616.80 : x
  2. Step 2: Convert to fraction form
    3,760.80/5,635.04 = 3,616.80/x
  3. Step 3: Cross multiply
    3,760.80x = 5,635.04 × 3,616.80
  4. Step 4: Simplify right side
    3,760.80x = 20,380,812.67
  5. Step 5: Solve for x
    x = 20,380,812.67/3,760.80
  6. Step 6: Final answer
    x = 5,419.28

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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.