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Finding the Fourth Proportional to 3,794.34, 5,694.12 and 1,603.29

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Solution

The fourth proportional to 3,794.34, 5,694.12 and 1,603.29 is: 2,406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.34 : 5,694.12 = 1,603.29 : x
  2. Step 2: Convert to fraction form
    3,794.34/5,694.12 = 1,603.29/x
  3. Step 3: Cross multiply
    3,794.34x = 5,694.12 × 1,603.29
  4. Step 4: Simplify right side
    3,794.34x = 9,129,325.65
  5. Step 5: Solve for x
    x = 9,129,325.65/3,794.34
  6. Step 6: Final answer
    x = 2,406.04

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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.