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Finding the Fourth Proportional to 4,489.25, 6,736.67 and 1,716.15

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Solution

The fourth proportional to 4,489.25, 6,736.67 and 1,716.15 is: 2,575.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.25 : 6,736.67 = 1,716.15 : x
  2. Step 2: Convert to fraction form
    4,489.25/6,736.67 = 1,716.15/x
  3. Step 3: Cross multiply
    4,489.25x = 6,736.67 × 1,716.15
  4. Step 4: Simplify right side
    4,489.25x = 11,561,127.64
  5. Step 5: Solve for x
    x = 11,561,127.64/4,489.25
  6. Step 6: Final answer
    x = 2,575.29

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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.