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Finding the Fourth Proportional to 3,795.66, 5,694.26 and 1,604.39

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Solution

The fourth proportional to 3,795.66, 5,694.26 and 1,604.39 is: 2,406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.66 : 5,694.26 = 1,604.39 : x
  2. Step 2: Convert to fraction form
    3,795.66/5,694.26 = 1,604.39/x
  3. Step 3: Cross multiply
    3,795.66x = 5,694.26 × 1,604.39
  4. Step 4: Simplify right side
    3,795.66x = 9,135,777.31
  5. Step 5: Solve for x
    x = 9,135,777.31/3,795.66
  6. Step 6: Final answer
    x = 2,406.90

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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.