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Finding the Fourth Proportional to 4,616.86, 6,371.56 and 2,627.80

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Solution

The fourth proportional to 4,616.86, 6,371.56 and 2,627.80 is: 3,626.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.86 : 6,371.56 = 2,627.80 : x
  2. Step 2: Convert to fraction form
    4,616.86/6,371.56 = 2,627.80/x
  3. Step 3: Cross multiply
    4,616.86x = 6,371.56 × 2,627.80
  4. Step 4: Simplify right side
    4,616.86x = 16,743,185.37
  5. Step 5: Solve for x
    x = 16,743,185.37/4,616.86
  6. Step 6: Final answer
    x = 3,626.53

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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.