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Finding the Fourth Proportional to 3,604.80, 4,974.46 and 2,033.20

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Solution

The fourth proportional to 3,604.80, 4,974.46 and 2,033.20 is: 2,805.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.80 : 4,974.46 = 2,033.20 : x
  2. Step 2: Convert to fraction form
    3,604.80/4,974.46 = 2,033.20/x
  3. Step 3: Cross multiply
    3,604.80x = 4,974.46 × 2,033.20
  4. Step 4: Simplify right side
    3,604.80x = 10,114,072.07
  5. Step 5: Solve for x
    x = 10,114,072.07/3,604.80
  6. Step 6: Final answer
    x = 2,805.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.