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Finding the Fourth Proportional to 3,833, 5,289.54 and 2,177

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Solution

The fourth proportional to 3,833, 5,289.54 and 2,177 is: 3,004.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833 : 5,289.54 = 2,177 : x
  2. Step 2: Convert to fraction form
    3,833/5,289.54 = 2,177/x
  3. Step 3: Cross multiply
    3,833x = 5,289.54 × 2,177
  4. Step 4: Simplify right side
    3,833x = 11,515,328.58
  5. Step 5: Solve for x
    x = 11,515,328.58/3,833
  6. Step 6: Final answer
    x = 3,004.26

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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.