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Finding the Fourth Proportional to 5,843.65, 8,768.05 and 3,069.68

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Solution

The fourth proportional to 5,843.65, 8,768.05 and 3,069.68 is: 4,605.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.65 : 8,768.05 = 3,069.68 : x
  2. Step 2: Convert to fraction form
    5,843.65/8,768.05 = 3,069.68/x
  3. Step 3: Cross multiply
    5,843.65x = 8,768.05 × 3,069.68
  4. Step 4: Simplify right side
    5,843.65x = 26,915,100.05
  5. Step 5: Solve for x
    x = 26,915,100.05/5,843.65
  6. Step 6: Final answer
    x = 4,605.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.