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Finding the Fourth Proportional to 3,794.53, 5,690.42 and 1,603.43

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Solution

The fourth proportional to 3,794.53, 5,690.42 and 1,603.43 is: 2,404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.53 : 5,690.42 = 1,603.43 : x
  2. Step 2: Convert to fraction form
    3,794.53/5,690.42 = 1,603.43/x
  3. Step 3: Cross multiply
    3,794.53x = 5,690.42 × 1,603.43
  4. Step 4: Simplify right side
    3,794.53x = 9,124,165.70
  5. Step 5: Solve for x
    x = 9,124,165.70/3,794.53
  6. Step 6: Final answer
    x = 2,404.56

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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.