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Finding the Fourth Proportional to 4,091.50, 6,137.52 and 1,783

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Solution

The fourth proportional to 4,091.50, 6,137.52 and 1,783 is: 2,674.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091.50 : 6,137.52 = 1,783 : x
  2. Step 2: Convert to fraction form
    4,091.50/6,137.52 = 1,783/x
  3. Step 3: Cross multiply
    4,091.50x = 6,137.52 × 1,783
  4. Step 4: Simplify right side
    4,091.50x = 10,943,198.16
  5. Step 5: Solve for x
    x = 10,943,198.16/4,091.50
  6. Step 6: Final answer
    x = 2,674.62

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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.