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Finding the Fourth Proportional to 4,046.19, 6,074.36 and 3,859.21

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Solution

The fourth proportional to 4,046.19, 6,074.36 and 3,859.21 is: 5,793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.19 : 6,074.36 = 3,859.21 : x
  2. Step 2: Convert to fraction form
    4,046.19/6,074.36 = 3,859.21/x
  3. Step 3: Cross multiply
    4,046.19x = 6,074.36 × 3,859.21
  4. Step 4: Simplify right side
    4,046.19x = 23,442,233.62
  5. Step 5: Solve for x
    x = 23,442,233.62/4,046.19
  6. Step 6: Final answer
    x = 5,793.66

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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.