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Finding the Fourth Proportional to 3,794.88, 5,694.24 and 1,716.36

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Solution

The fourth proportional to 3,794.88, 5,694.24 and 1,716.36 is: 2,575.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.88 : 5,694.24 = 1,716.36 : x
  2. Step 2: Convert to fraction form
    3,794.88/5,694.24 = 1,716.36/x
  3. Step 3: Cross multiply
    3,794.88x = 5,694.24 × 1,716.36
  4. Step 4: Simplify right side
    3,794.88x = 9,773,365.77
  5. Step 5: Solve for x
    x = 9,773,365.77/3,794.88
  6. Step 6: Final answer
    x = 2,575.41

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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.