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Finding the Fourth Proportional to 3,855.39, 5,777.91 and 2,002.65

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Solution

The fourth proportional to 3,855.39, 5,777.91 and 2,002.65 is: 3,001.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.39 : 5,777.91 = 2,002.65 : x
  2. Step 2: Convert to fraction form
    3,855.39/5,777.91 = 2,002.65/x
  3. Step 3: Cross multiply
    3,855.39x = 5,777.91 × 2,002.65
  4. Step 4: Simplify right side
    3,855.39x = 11,571,131.46
  5. Step 5: Solve for x
    x = 11,571,131.46/3,855.39
  6. Step 6: Final answer
    x = 3,001.29

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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.