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Finding the Fourth Proportional to 4,983.62, 7,474.35 and 1,863.50

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Solution

The fourth proportional to 4,983.62, 7,474.35 and 1,863.50 is: 2,794.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983.62 : 7,474.35 = 1,863.50 : x
  2. Step 2: Convert to fraction form
    4,983.62/7,474.35 = 1,863.50/x
  3. Step 3: Cross multiply
    4,983.62x = 7,474.35 × 1,863.50
  4. Step 4: Simplify right side
    4,983.62x = 13,928,451.23
  5. Step 5: Solve for x
    x = 13,928,451.23/4,983.62
  6. Step 6: Final answer
    x = 2,794.85

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Why These Related Problems?

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