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Finding the Fourth Proportional to 4,832.49, 6,668.49 and 2,707.95

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Solution

The fourth proportional to 4,832.49, 6,668.49 and 2,707.95 is: 3,736.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.49 : 6,668.49 = 2,707.95 : x
  2. Step 2: Convert to fraction form
    4,832.49/6,668.49 = 2,707.95/x
  3. Step 3: Cross multiply
    4,832.49x = 6,668.49 × 2,707.95
  4. Step 4: Simplify right side
    4,832.49x = 18,057,937.50
  5. Step 5: Solve for x
    x = 18,057,937.50/4,832.49
  6. Step 6: Final answer
    x = 3,736.78

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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.