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Finding the Fourth Proportional to 5,617.69, 8,431.70 and 2,846.29

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Solution

The fourth proportional to 5,617.69, 8,431.70 and 2,846.29 is: 4,272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.69 : 8,431.70 = 2,846.29 : x
  2. Step 2: Convert to fraction form
    5,617.69/8,431.70 = 2,846.29/x
  3. Step 3: Cross multiply
    5,617.69x = 8,431.70 × 2,846.29
  4. Step 4: Simplify right side
    5,617.69x = 23,999,049.43
  5. Step 5: Solve for x
    x = 23,999,049.43/5,617.69
  6. Step 6: Final answer
    x = 4,272.05

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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.