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Finding the Fourth Proportional to 3,286.74, 4,535.71 and 1,794.69

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Solution

The fourth proportional to 3,286.74, 4,535.71 and 1,794.69 is: 2,476.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.74 : 4,535.71 = 1,794.69 : x
  2. Step 2: Convert to fraction form
    3,286.74/4,535.71 = 1,794.69/x
  3. Step 3: Cross multiply
    3,286.74x = 4,535.71 × 1,794.69
  4. Step 4: Simplify right side
    3,286.74x = 8,140,193.38
  5. Step 5: Solve for x
    x = 8,140,193.38/3,286.74
  6. Step 6: Final answer
    x = 2,476.68

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Why These Related Problems?

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