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Finding the Fourth Proportional to 3,855.24, 5,786.10 and 2,007

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Solution

The fourth proportional to 3,855.24, 5,786.10 and 2,007 is: 3,012.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.24 : 5,786.10 = 2,007 : x
  2. Step 2: Convert to fraction form
    3,855.24/5,786.10 = 2,007/x
  3. Step 3: Cross multiply
    3,855.24x = 5,786.10 × 2,007
  4. Step 4: Simplify right side
    3,855.24x = 11,612,702.70
  5. Step 5: Solve for x
    x = 11,612,702.70/3,855.24
  6. Step 6: Final answer
    x = 3,012.19

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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.