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Finding the Fourth Proportional to 4,880.35, 6,738.06 and 3,759.31

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Solution

The fourth proportional to 4,880.35, 6,738.06 and 3,759.31 is: 5,190.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880.35 : 6,738.06 = 3,759.31 : x
  2. Step 2: Convert to fraction form
    4,880.35/6,738.06 = 3,759.31/x
  3. Step 3: Cross multiply
    4,880.35x = 6,738.06 × 3,759.31
  4. Step 4: Simplify right side
    4,880.35x = 25,330,456.34
  5. Step 5: Solve for x
    x = 25,330,456.34/4,880.35
  6. Step 6: Final answer
    x = 5,190.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.