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Finding the Fourth Proportional to 3,476.75, 4,797.93 and 2,234.75

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Solution

The fourth proportional to 3,476.75, 4,797.93 and 2,234.75 is: 3,083.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.75 : 4,797.93 = 2,234.75 : x
  2. Step 2: Convert to fraction form
    3,476.75/4,797.93 = 2,234.75/x
  3. Step 3: Cross multiply
    3,476.75x = 4,797.93 × 2,234.75
  4. Step 4: Simplify right side
    3,476.75x = 10,722,174.07
  5. Step 5: Solve for x
    x = 10,722,174.07/3,476.75
  6. Step 6: Final answer
    x = 3,083.96

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1.5x scale

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.