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Finding the Fourth Proportional to 4,914.02, 7,372.23 and 2,449.46

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Solution

The fourth proportional to 4,914.02, 7,372.23 and 2,449.46 is: 3,674.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.02 : 7,372.23 = 2,449.46 : x
  2. Step 2: Convert to fraction form
    4,914.02/7,372.23 = 2,449.46/x
  3. Step 3: Cross multiply
    4,914.02x = 7,372.23 × 2,449.46
  4. Step 4: Simplify right side
    4,914.02x = 18,057,982.50
  5. Step 5: Solve for x
    x = 18,057,982.50/4,914.02
  6. Step 6: Final answer
    x = 3,674.79

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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.