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Finding the Fourth Proportional to 5,408.94, 7,469.67 and 3,734.67

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Solution

The fourth proportional to 5,408.94, 7,469.67 and 3,734.67 is: 5,157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.94 : 7,469.67 = 3,734.67 : x
  2. Step 2: Convert to fraction form
    5,408.94/7,469.67 = 3,734.67/x
  3. Step 3: Cross multiply
    5,408.94x = 7,469.67 × 3,734.67
  4. Step 4: Simplify right side
    5,408.94x = 27,896,752.46
  5. Step 5: Solve for x
    x = 27,896,752.46/5,408.94
  6. Step 6: Final answer
    x = 5,157.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.