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Finding the Fourth Proportional to 3,987.09, 5,975.42 and 1,644.42

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Solution

The fourth proportional to 3,987.09, 5,975.42 and 1,644.42 is: 2,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.09 : 5,975.42 = 1,644.42 : x
  2. Step 2: Convert to fraction form
    3,987.09/5,975.42 = 1,644.42/x
  3. Step 3: Cross multiply
    3,987.09x = 5,975.42 × 1,644.42
  4. Step 4: Simplify right side
    3,987.09x = 9,826,091.93
  5. Step 5: Solve for x
    x = 9,826,091.93/3,987.09
  6. Step 6: Final answer
    x = 2,464.48

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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.