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Finding the Fourth Proportional to 3,286.58, 4,535.19 and 1,960.00

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Solution

The fourth proportional to 3,286.58, 4,535.19 and 1,960.00 is: 2,704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.58 : 4,535.19 = 1,960.00 : x
  2. Step 2: Convert to fraction form
    3,286.58/4,535.19 = 1,960.00/x
  3. Step 3: Cross multiply
    3,286.58x = 4,535.19 × 1,960.00
  4. Step 4: Simplify right side
    3,286.58x = 8,888,961.06
  5. Step 5: Solve for x
    x = 8,888,961.06/3,286.58
  6. Step 6: Final answer
    x = 2,704.63

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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.