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Finding the Fourth Proportional to 3,224.78, 4,837.44 and 1,033.46

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Solution

The fourth proportional to 3,224.78, 4,837.44 and 1,033.46 is: 1,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.78 : 4,837.44 = 1,033.46 : x
  2. Step 2: Convert to fraction form
    3,224.78/4,837.44 = 1,033.46/x
  3. Step 3: Cross multiply
    3,224.78x = 4,837.44 × 1,033.46
  4. Step 4: Simplify right side
    3,224.78x = 4,999,300.74
  5. Step 5: Solve for x
    x = 4,999,300.74/3,224.78
  6. Step 6: Final answer
    x = 1,550.28

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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.