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Finding the Fourth Proportional to 3,277.15, 4,906.07 and 2,164.53

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Solution

The fourth proportional to 3,277.15, 4,906.07 and 2,164.53 is: 3,240.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.15 : 4,906.07 = 2,164.53 : x
  2. Step 2: Convert to fraction form
    3,277.15/4,906.07 = 2,164.53/x
  3. Step 3: Cross multiply
    3,277.15x = 4,906.07 × 2,164.53
  4. Step 4: Simplify right side
    3,277.15x = 10,619,335.70
  5. Step 5: Solve for x
    x = 10,619,335.70/3,277.15
  6. Step 6: Final answer
    x = 3,240.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.