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Finding the Fourth Proportional to 3,629.07, 5,443.74 and 996.84

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Solution

The fourth proportional to 3,629.07, 5,443.74 and 996.84 is: 1,495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.07 : 5,443.74 = 996.84 : x
  2. Step 2: Convert to fraction form
    3,629.07/5,443.74 = 996.84/x
  3. Step 3: Cross multiply
    3,629.07x = 5,443.74 × 996.84
  4. Step 4: Simplify right side
    3,629.07x = 5,426,537.78
  5. Step 5: Solve for x
    x = 5,426,537.78/3,629.07
  6. Step 6: Final answer
    x = 1,495.30

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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.