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Finding the Fourth Proportional to 3,797.35, 5,689 and 3,184.99

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Solution

The fourth proportional to 3,797.35, 5,689 and 3,184.99 is: 4,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.35 : 5,689 = 3,184.99 : x
  2. Step 2: Convert to fraction form
    3,797.35/5,689 = 3,184.99/x
  3. Step 3: Cross multiply
    3,797.35x = 5,689 × 3,184.99
  4. Step 4: Simplify right side
    3,797.35x = 18,119,408.11
  5. Step 5: Solve for x
    x = 18,119,408.11/3,797.35
  6. Step 6: Final answer
    x = 4,771.59

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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.