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Finding the Fourth Proportional to 5,964.77, 8,231.90 and 3,312.69

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Solution

The fourth proportional to 5,964.77, 8,231.90 and 3,312.69 is: 4,571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.77 : 8,231.90 = 3,312.69 : x
  2. Step 2: Convert to fraction form
    5,964.77/8,231.90 = 3,312.69/x
  3. Step 3: Cross multiply
    5,964.77x = 8,231.90 × 3,312.69
  4. Step 4: Simplify right side
    5,964.77x = 27,269,716.25
  5. Step 5: Solve for x
    x = 27,269,716.25/5,964.77
  6. Step 6: Final answer
    x = 4,571.80

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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.