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Finding the Fourth Proportional to 3,805.44, 5,736.23 and 3,489.51

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Solution

The fourth proportional to 3,805.44, 5,736.23 and 3,489.51 is: 5,260.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.44 : 5,736.23 = 3,489.51 : x
  2. Step 2: Convert to fraction form
    3,805.44/5,736.23 = 3,489.51/x
  3. Step 3: Cross multiply
    3,805.44x = 5,736.23 × 3,489.51
  4. Step 4: Simplify right side
    3,805.44x = 20,016,614.50
  5. Step 5: Solve for x
    x = 20,016,614.50/3,805.44
  6. Step 6: Final answer
    x = 5,260.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.