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Finding the Fourth Proportional to 4,129.82, 6,205.48 and 3,859.86

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Solution

The fourth proportional to 4,129.82, 6,205.48 and 3,859.86 is: 5,799.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.82 : 6,205.48 = 3,859.86 : x
  2. Step 2: Convert to fraction form
    4,129.82/6,205.48 = 3,859.86/x
  3. Step 3: Cross multiply
    4,129.82x = 6,205.48 × 3,859.86
  4. Step 4: Simplify right side
    4,129.82x = 23,952,297.65
  5. Step 5: Solve for x
    x = 23,952,297.65/4,129.82
  6. Step 6: Final answer
    x = 5,799.84

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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.