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Finding the Fourth Proportional to 3,616.44, 5,424.57 and 1,019.31

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Solution

The fourth proportional to 3,616.44, 5,424.57 and 1,019.31 is: 1,528.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.44 : 5,424.57 = 1,019.31 : x
  2. Step 2: Convert to fraction form
    3,616.44/5,424.57 = 1,019.31/x
  3. Step 3: Cross multiply
    3,616.44x = 5,424.57 × 1,019.31
  4. Step 4: Simplify right side
    3,616.44x = 5,529,318.45
  5. Step 5: Solve for x
    x = 5,529,318.45/3,616.44
  6. Step 6: Final answer
    x = 1,528.94

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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.