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Finding the Fourth Proportional to 5,633.96, 8,447.34 and 2,706.44

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Solution

The fourth proportional to 5,633.96, 8,447.34 and 2,706.44 is: 4,057.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.96 : 8,447.34 = 2,706.44 : x
  2. Step 2: Convert to fraction form
    5,633.96/8,447.34 = 2,706.44/x
  3. Step 3: Cross multiply
    5,633.96x = 8,447.34 × 2,706.44
  4. Step 4: Simplify right side
    5,633.96x = 22,862,218.87
  5. Step 5: Solve for x
    x = 22,862,218.87/5,633.96
  6. Step 6: Final answer
    x = 4,057.93

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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.