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Finding the Fourth Proportional to 3,782.99, 5,673.60 and 1,443.26

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Solution

The fourth proportional to 3,782.99, 5,673.60 and 1,443.26 is: 2,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.99 : 5,673.60 = 1,443.26 : x
  2. Step 2: Convert to fraction form
    3,782.99/5,673.60 = 1,443.26/x
  3. Step 3: Cross multiply
    3,782.99x = 5,673.60 × 1,443.26
  4. Step 4: Simplify right side
    3,782.99x = 8,188,451.57
  5. Step 5: Solve for x
    x = 8,188,451.57/3,782.99
  6. Step 6: Final answer
    x = 2,164.55

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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.