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Finding the Fourth Proportional to 5,846.14, 8,067.85 and 3,328.18

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Solution

The fourth proportional to 5,846.14, 8,067.85 and 3,328.18 is: 4,592.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.14 : 8,067.85 = 3,328.18 : x
  2. Step 2: Convert to fraction form
    5,846.14/8,067.85 = 3,328.18/x
  3. Step 3: Cross multiply
    5,846.14x = 8,067.85 × 3,328.18
  4. Step 4: Simplify right side
    5,846.14x = 26,851,257.01
  5. Step 5: Solve for x
    x = 26,851,257.01/5,846.14
  6. Step 6: Final answer
    x = 4,592.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.