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Finding the Fourth Proportional to 3,224.66, 4,837.94 and 1,033.34

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Solution

The fourth proportional to 3,224.66, 4,837.94 and 1,033.34 is: 1,550.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.66 : 4,837.94 = 1,033.34 : x
  2. Step 2: Convert to fraction form
    3,224.66/4,837.94 = 1,033.34/x
  3. Step 3: Cross multiply
    3,224.66x = 4,837.94 × 1,033.34
  4. Step 4: Simplify right side
    3,224.66x = 4,999,231.75
  5. Step 5: Solve for x
    x = 4,999,231.75/3,224.66
  6. Step 6: Final answer
    x = 1,550.31

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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.