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Finding the Fourth Proportional to 3,842.33, 5,767.14 and 1,764.68

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Solution

The fourth proportional to 3,842.33, 5,767.14 and 1,764.68 is: 2,648.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.33 : 5,767.14 = 1,764.68 : x
  2. Step 2: Convert to fraction form
    3,842.33/5,767.14 = 1,764.68/x
  3. Step 3: Cross multiply
    3,842.33x = 5,767.14 × 1,764.68
  4. Step 4: Simplify right side
    3,842.33x = 10,177,156.62
  5. Step 5: Solve for x
    x = 10,177,156.62/3,842.33
  6. Step 6: Final answer
    x = 2,648.69

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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.