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Finding the Fourth Proportional to 5,336.68, 8,005.42 and 2,563.96

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Solution

The fourth proportional to 5,336.68, 8,005.42 and 2,563.96 is: 3,846.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.68 : 8,005.42 = 2,563.96 : x
  2. Step 2: Convert to fraction form
    5,336.68/8,005.42 = 2,563.96/x
  3. Step 3: Cross multiply
    5,336.68x = 8,005.42 × 2,563.96
  4. Step 4: Simplify right side
    5,336.68x = 20,525,576.66
  5. Step 5: Solve for x
    x = 20,525,576.66/5,336.68
  6. Step 6: Final answer
    x = 3,846.13

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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.