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Finding the Fourth Proportional to 3,855.36, 5,778.25 and 2,005.39

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Solution

The fourth proportional to 3,855.36, 5,778.25 and 2,005.39 is: 3,005.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.36 : 5,778.25 = 2,005.39 : x
  2. Step 2: Convert to fraction form
    3,855.36/5,778.25 = 2,005.39/x
  3. Step 3: Cross multiply
    3,855.36x = 5,778.25 × 2,005.39
  4. Step 4: Simplify right side
    3,855.36x = 11,587,644.77
  5. Step 5: Solve for x
    x = 11,587,644.77/3,855.36
  6. Step 6: Final answer
    x = 3,005.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.