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Finding the Fourth Proportional to 3,224.93, 4,837.49 and 1,033.37

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Solution

The fourth proportional to 3,224.93, 4,837.49 and 1,033.37 is: 1,550.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.93 : 4,837.49 = 1,033.37 : x
  2. Step 2: Convert to fraction form
    3,224.93/4,837.49 = 1,033.37/x
  3. Step 3: Cross multiply
    3,224.93x = 4,837.49 × 1,033.37
  4. Step 4: Simplify right side
    3,224.93x = 4,998,895.44
  5. Step 5: Solve for x
    x = 4,998,895.44/3,224.93
  6. Step 6: Final answer
    x = 1,550.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.