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Finding the Fourth Proportional to 4,757.94, 7,138.73 and 1,983.89

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Solution

The fourth proportional to 4,757.94, 7,138.73 and 1,983.89 is: 2,976.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.94 : 7,138.73 = 1,983.89 : x
  2. Step 2: Convert to fraction form
    4,757.94/7,138.73 = 1,983.89/x
  3. Step 3: Cross multiply
    4,757.94x = 7,138.73 × 1,983.89
  4. Step 4: Simplify right side
    4,757.94x = 14,162,477.87
  5. Step 5: Solve for x
    x = 14,162,477.87/4,757.94
  6. Step 6: Final answer
    x = 2,976.60

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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.