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Finding the Fourth Proportional to 3,286.88, 4,535.72 and 1,794.78

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Solution

The fourth proportional to 3,286.88, 4,535.72 and 1,794.78 is: 2,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.88 : 4,535.72 = 1,794.78 : x
  2. Step 2: Convert to fraction form
    3,286.88/4,535.72 = 1,794.78/x
  3. Step 3: Cross multiply
    3,286.88x = 4,535.72 × 1,794.78
  4. Step 4: Simplify right side
    3,286.88x = 8,140,610.57
  5. Step 5: Solve for x
    x = 8,140,610.57/3,286.88
  6. Step 6: Final answer
    x = 2,476.70

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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.