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Finding the Fourth Proportional to 4,738.42, 7,103.46 and 3,418.90

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Solution

The fourth proportional to 4,738.42, 7,103.46 and 3,418.90 is: 5,125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.42 : 7,103.46 = 3,418.90 : x
  2. Step 2: Convert to fraction form
    4,738.42/7,103.46 = 3,418.90/x
  3. Step 3: Cross multiply
    4,738.42x = 7,103.46 × 3,418.90
  4. Step 4: Simplify right side
    4,738.42x = 24,286,019.39
  5. Step 5: Solve for x
    x = 24,286,019.39/4,738.42
  6. Step 6: Final answer
    x = 5,125.34

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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.