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Finding the Fourth Proportional to 3,198.96, 4,825.80 and 3,100.68

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Solution

The fourth proportional to 3,198.96, 4,825.80 and 3,100.68 is: 4,677.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.96 : 4,825.80 = 3,100.68 : x
  2. Step 2: Convert to fraction form
    3,198.96/4,825.80 = 3,100.68/x
  3. Step 3: Cross multiply
    3,198.96x = 4,825.80 × 3,100.68
  4. Step 4: Simplify right side
    3,198.96x = 14,963,261.54
  5. Step 5: Solve for x
    x = 14,963,261.54/3,198.96
  6. Step 6: Final answer
    x = 4,677.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.