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Finding the Fourth Proportional to 3,999.65, 5,999.48 and 2,148.22

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Solution

The fourth proportional to 3,999.65, 5,999.48 and 2,148.22 is: 3,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.65 : 5,999.48 = 2,148.22 : x
  2. Step 2: Convert to fraction form
    3,999.65/5,999.48 = 2,148.22/x
  3. Step 3: Cross multiply
    3,999.65x = 5,999.48 × 2,148.22
  4. Step 4: Simplify right side
    3,999.65x = 12,888,202.93
  5. Step 5: Solve for x
    x = 12,888,202.93/3,999.65
  6. Step 6: Final answer
    x = 3,222.33

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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.