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Finding the Fourth Proportional to 3,540.33, 5,305.64 and 1,805.31

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Solution

The fourth proportional to 3,540.33, 5,305.64 and 1,805.31 is: 2,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.33 : 5,305.64 = 1,805.31 : x
  2. Step 2: Convert to fraction form
    3,540.33/5,305.64 = 1,805.31/x
  3. Step 3: Cross multiply
    3,540.33x = 5,305.64 × 1,805.31
  4. Step 4: Simplify right side
    3,540.33x = 9,578,315.92
  5. Step 5: Solve for x
    x = 9,578,315.92/3,540.33
  6. Step 6: Final answer
    x = 2,705.49

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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.