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Finding the Fourth Proportional to 4,208.50, 6,314.06 and 1,744.48

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Solution

The fourth proportional to 4,208.50, 6,314.06 and 1,744.48 is: 2,617.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.50 : 6,314.06 = 1,744.48 : x
  2. Step 2: Convert to fraction form
    4,208.50/6,314.06 = 1,744.48/x
  3. Step 3: Cross multiply
    4,208.50x = 6,314.06 × 1,744.48
  4. Step 4: Simplify right side
    4,208.50x = 11,014,751.39
  5. Step 5: Solve for x
    x = 11,014,751.39/4,208.50
  6. Step 6: Final answer
    x = 2,617.26

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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.