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Finding the Fourth Proportional to 3,763.59, 5,643.49 and 2,204.09

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Solution

The fourth proportional to 3,763.59, 5,643.49 and 2,204.09 is: 3,305.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.59 : 5,643.49 = 2,204.09 : x
  2. Step 2: Convert to fraction form
    3,763.59/5,643.49 = 2,204.09/x
  3. Step 3: Cross multiply
    3,763.59x = 5,643.49 × 2,204.09
  4. Step 4: Simplify right side
    3,763.59x = 12,438,759.87
  5. Step 5: Solve for x
    x = 12,438,759.87/3,763.59
  6. Step 6: Final answer
    x = 3,305.03

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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.