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Finding the Fourth Proportional to 3,371.64, 5,058.44 and 1,729.33

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Solution

The fourth proportional to 3,371.64, 5,058.44 and 1,729.33 is: 2,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,371.64 : 5,058.44 = 1,729.33 : x
  2. Step 2: Convert to fraction form
    3,371.64/5,058.44 = 1,729.33/x
  3. Step 3: Cross multiply
    3,371.64x = 5,058.44 × 1,729.33
  4. Step 4: Simplify right side
    3,371.64x = 8,747,712.05
  5. Step 5: Solve for x
    x = 8,747,712.05/3,371.64
  6. Step 6: Final answer
    x = 2,594.50

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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.