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Finding the Fourth Proportional to 3,224.44, 4,836.57 and 1,033.30

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Solution

The fourth proportional to 3,224.44, 4,836.57 and 1,033.30 is: 1,549.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.44 : 4,836.57 = 1,033.30 : x
  2. Step 2: Convert to fraction form
    3,224.44/4,836.57 = 1,033.30/x
  3. Step 3: Cross multiply
    3,224.44x = 4,836.57 × 1,033.30
  4. Step 4: Simplify right side
    3,224.44x = 4,997,627.78
  5. Step 5: Solve for x
    x = 4,997,627.78/3,224.44
  6. Step 6: Final answer
    x = 1,549.92

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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.