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Finding the Fourth Proportional to 3,728.68, 5,593.69 and 1,536.21

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Solution

The fourth proportional to 3,728.68, 5,593.69 and 1,536.21 is: 2,304.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.68 : 5,593.69 = 1,536.21 : x
  2. Step 2: Convert to fraction form
    3,728.68/5,593.69 = 1,536.21/x
  3. Step 3: Cross multiply
    3,728.68x = 5,593.69 × 1,536.21
  4. Step 4: Simplify right side
    3,728.68x = 8,593,078.67
  5. Step 5: Solve for x
    x = 8,593,078.67/3,728.68
  6. Step 6: Final answer
    x = 2,304.59

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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.