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Finding the Fourth Proportional to 4,208.25, 6,313.68 and 1,744.23

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Solution

The fourth proportional to 4,208.25, 6,313.68 and 1,744.23 is: 2,616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.25 : 6,313.68 = 1,744.23 : x
  2. Step 2: Convert to fraction form
    4,208.25/6,313.68 = 1,744.23/x
  3. Step 3: Cross multiply
    4,208.25x = 6,313.68 × 1,744.23
  4. Step 4: Simplify right side
    4,208.25x = 11,012,478.50
  5. Step 5: Solve for x
    x = 11,012,478.50/4,208.25
  6. Step 6: Final answer
    x = 2,616.88

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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.