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Finding the Fourth Proportional to 5,636.27, 8,451.96 and 4,146.48

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Solution

The fourth proportional to 5,636.27, 8,451.96 and 4,146.48 is: 6,217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.27 : 8,451.96 = 4,146.48 : x
  2. Step 2: Convert to fraction form
    5,636.27/8,451.96 = 4,146.48/x
  3. Step 3: Cross multiply
    5,636.27x = 8,451.96 × 4,146.48
  4. Step 4: Simplify right side
    5,636.27x = 35,045,883.10
  5. Step 5: Solve for x
    x = 35,045,883.10/5,636.27
  6. Step 6: Final answer
    x = 6,217.93

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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.