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Finding the Fourth Proportional to 3,730.20, 5,593.20 and 1,536.44

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Solution

The fourth proportional to 3,730.20, 5,593.20 and 1,536.44 is: 2,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.20 : 5,593.20 = 1,536.44 : x
  2. Step 2: Convert to fraction form
    3,730.20/5,593.20 = 1,536.44/x
  3. Step 3: Cross multiply
    3,730.20x = 5,593.20 × 1,536.44
  4. Step 4: Simplify right side
    3,730.20x = 8,593,616.21
  5. Step 5: Solve for x
    x = 8,593,616.21/3,730.20
  6. Step 6: Final answer
    x = 2,303.80

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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.