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Finding the Fourth Proportional to 3,738.46, 5,596.80 and 2,914.22

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Solution

The fourth proportional to 3,738.46, 5,596.80 and 2,914.22 is: 4,362.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.46 : 5,596.80 = 2,914.22 : x
  2. Step 2: Convert to fraction form
    3,738.46/5,596.80 = 2,914.22/x
  3. Step 3: Cross multiply
    3,738.46x = 5,596.80 × 2,914.22
  4. Step 4: Simplify right side
    3,738.46x = 16,310,306.50
  5. Step 5: Solve for x
    x = 16,310,306.50/3,738.46
  6. Step 6: Final answer
    x = 4,362.84

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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.