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Finding the Fourth Proportional to 5,912.41, 8,159 and 3,223.65

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Solution

The fourth proportional to 5,912.41, 8,159 and 3,223.65 is: 4,448.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.41 : 8,159 = 3,223.65 : x
  2. Step 2: Convert to fraction form
    5,912.41/8,159 = 3,223.65/x
  3. Step 3: Cross multiply
    5,912.41x = 8,159 × 3,223.65
  4. Step 4: Simplify right side
    5,912.41x = 26,301,760.35
  5. Step 5: Solve for x
    x = 26,301,760.35/5,912.41
  6. Step 6: Final answer
    x = 4,448.57

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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.