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Finding the Fourth Proportional to 3,849.06, 5,772.16 and 1,383.21

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Solution

The fourth proportional to 3,849.06, 5,772.16 and 1,383.21 is: 2,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.06 : 5,772.16 = 1,383.21 : x
  2. Step 2: Convert to fraction form
    3,849.06/5,772.16 = 1,383.21/x
  3. Step 3: Cross multiply
    3,849.06x = 5,772.16 × 1,383.21
  4. Step 4: Simplify right side
    3,849.06x = 7,984,109.43
  5. Step 5: Solve for x
    x = 7,984,109.43/3,849.06
  6. Step 6: Final answer
    x = 2,074.30

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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.