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Finding the Fourth Proportional to 4,489.73, 6,735.99 and 2,300.00

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Solution

The fourth proportional to 4,489.73, 6,735.99 and 2,300.00 is: 3,450.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.73 : 6,735.99 = 2,300.00 : x
  2. Step 2: Convert to fraction form
    4,489.73/6,735.99 = 2,300.00/x
  3. Step 3: Cross multiply
    4,489.73x = 6,735.99 × 2,300.00
  4. Step 4: Simplify right side
    4,489.73x = 15,492,751.95
  5. Step 5: Solve for x
    x = 15,492,751.95/4,489.73
  6. Step 6: Final answer
    x = 3,450.71

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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.