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Finding the Fourth Proportional to 3,984.57, 5,976.07 and 3,787.00

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Solution

The fourth proportional to 3,984.57, 5,976.07 and 3,787.00 is: 5,679.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.57 : 5,976.07 = 3,787.00 : x
  2. Step 2: Convert to fraction form
    3,984.57/5,976.07 = 3,787.00/x
  3. Step 3: Cross multiply
    3,984.57x = 5,976.07 × 3,787.00
  4. Step 4: Simplify right side
    3,984.57x = 22,631,352.68
  5. Step 5: Solve for x
    x = 22,631,352.68/3,984.57
  6. Step 6: Final answer
    x = 5,679.75

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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.