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Finding the Fourth Proportional to 3,795.75, 5,694.23 and 1,604.50

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Solution

The fourth proportional to 3,795.75, 5,694.23 and 1,604.50 is: 2,407.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.75 : 5,694.23 = 1,604.50 : x
  2. Step 2: Convert to fraction form
    3,795.75/5,694.23 = 1,604.50/x
  3. Step 3: Cross multiply
    3,795.75x = 5,694.23 × 1,604.50
  4. Step 4: Simplify right side
    3,795.75x = 9,136,392.04
  5. Step 5: Solve for x
    x = 9,136,392.04/3,795.75
  6. Step 6: Final answer
    x = 2,407.01

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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.