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Finding the Fourth Proportional to 3,945.97, 5,916.27 and 1,969.09

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Solution

The fourth proportional to 3,945.97, 5,916.27 and 1,969.09 is: 2,952.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.97 : 5,916.27 = 1,969.09 : x
  2. Step 2: Convert to fraction form
    3,945.97/5,916.27 = 1,969.09/x
  3. Step 3: Cross multiply
    3,945.97x = 5,916.27 × 1,969.09
  4. Step 4: Simplify right side
    3,945.97x = 11,649,668.09
  5. Step 5: Solve for x
    x = 11,649,668.09/3,945.97
  6. Step 6: Final answer
    x = 2,952.30

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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.