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Finding the Fourth Proportional to 3,853.79, 5,775 and 1,768.65

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Solution

The fourth proportional to 3,853.79, 5,775 and 1,768.65 is: 2,650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.79 : 5,775 = 1,768.65 : x
  2. Step 2: Convert to fraction form
    3,853.79/5,775 = 1,768.65/x
  3. Step 3: Cross multiply
    3,853.79x = 5,775 × 1,768.65
  4. Step 4: Simplify right side
    3,853.79x = 10,213,953.75
  5. Step 5: Solve for x
    x = 10,213,953.75/3,853.79
  6. Step 6: Final answer
    x = 2,650.37

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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.