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Finding the Fourth Proportional to 5,444, 7,512.73 and 2,960

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Solution

The fourth proportional to 5,444, 7,512.73 and 2,960 is: 4,084.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,444 : 7,512.73 = 2,960 : x
  2. Step 2: Convert to fraction form
    5,444/7,512.73 = 2,960/x
  3. Step 3: Cross multiply
    5,444x = 7,512.73 × 2,960
  4. Step 4: Simplify right side
    5,444x = 22,237,680.80
  5. Step 5: Solve for x
    x = 22,237,680.80/5,444
  6. Step 6: Final answer
    x = 4,084.81

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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.