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Finding the Fourth Proportional to 4,843.49, 7,262.83 and 1,723.03

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Solution

The fourth proportional to 4,843.49, 7,262.83 and 1,723.03 is: 2,583.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.49 : 7,262.83 = 1,723.03 : x
  2. Step 2: Convert to fraction form
    4,843.49/7,262.83 = 1,723.03/x
  3. Step 3: Cross multiply
    4,843.49x = 7,262.83 × 1,723.03
  4. Step 4: Simplify right side
    4,843.49x = 12,514,037.66
  5. Step 5: Solve for x
    x = 12,514,037.66/4,843.49
  6. Step 6: Final answer
    x = 2,583.68

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1.5x scale

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.