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Finding the Fourth Proportional to 3,772.09, 5,205.09 and 2,280.07

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Solution

The fourth proportional to 3,772.09, 5,205.09 and 2,280.07 is: 3,146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.09 : 5,205.09 = 2,280.07 : x
  2. Step 2: Convert to fraction form
    3,772.09/5,205.09 = 2,280.07/x
  3. Step 3: Cross multiply
    3,772.09x = 5,205.09 × 2,280.07
  4. Step 4: Simplify right side
    3,772.09x = 11,867,969.56
  5. Step 5: Solve for x
    x = 11,867,969.56/3,772.09
  6. Step 6: Final answer
    x = 3,146.26

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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.