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Finding the Fourth Proportional to 3,533.28, 4,874.80 and 2,041

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Solution

The fourth proportional to 3,533.28, 4,874.80 and 2,041 is: 2,815.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.28 : 4,874.80 = 2,041 : x
  2. Step 2: Convert to fraction form
    3,533.28/4,874.80 = 2,041/x
  3. Step 3: Cross multiply
    3,533.28x = 4,874.80 × 2,041
  4. Step 4: Simplify right side
    3,533.28x = 9,949,466.80
  5. Step 5: Solve for x
    x = 9,949,466.80/3,533.28
  6. Step 6: Final answer
    x = 2,815.93

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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.