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Finding the Fourth Proportional to 5,768.14, 7,961.08 and 4,523.98

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Solution

The fourth proportional to 5,768.14, 7,961.08 and 4,523.98 is: 6,243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.14 : 7,961.08 = 4,523.98 : x
  2. Step 2: Convert to fraction form
    5,768.14/7,961.08 = 4,523.98/x
  3. Step 3: Cross multiply
    5,768.14x = 7,961.08 × 4,523.98
  4. Step 4: Simplify right side
    5,768.14x = 36,015,766.70
  5. Step 5: Solve for x
    x = 36,015,766.70/5,768.14
  6. Step 6: Final answer
    x = 6,243.91

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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.