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Finding the Fourth Proportional to 3,764.59, 5,644.99 and 2,205.09

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Solution

The fourth proportional to 3,764.59, 5,644.99 and 2,205.09 is: 3,306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.59 : 5,644.99 = 2,205.09 : x
  2. Step 2: Convert to fraction form
    3,764.59/5,644.99 = 2,205.09/x
  3. Step 3: Cross multiply
    3,764.59x = 5,644.99 × 2,205.09
  4. Step 4: Simplify right side
    3,764.59x = 12,447,711.00
  5. Step 5: Solve for x
    x = 12,447,711.00/3,764.59
  6. Step 6: Final answer
    x = 3,306.53

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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.