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Finding the Fourth Proportional to 3,680.25, 5,078.83 and 2,024.25

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Solution

The fourth proportional to 3,680.25, 5,078.83 and 2,024.25 is: 2,793.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.25 : 5,078.83 = 2,024.25 : x
  2. Step 2: Convert to fraction form
    3,680.25/5,078.83 = 2,024.25/x
  3. Step 3: Cross multiply
    3,680.25x = 5,078.83 × 2,024.25
  4. Step 4: Simplify right side
    3,680.25x = 10,280,811.51
  5. Step 5: Solve for x
    x = 10,280,811.51/3,680.25
  6. Step 6: Final answer
    x = 2,793.51

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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.