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Finding the Fourth Proportional to 5,677.48, 7,834.02 and 3,193

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Solution

The fourth proportional to 5,677.48, 7,834.02 and 3,193 is: 4,405.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.48 : 7,834.02 = 3,193 : x
  2. Step 2: Convert to fraction form
    5,677.48/7,834.02 = 3,193/x
  3. Step 3: Cross multiply
    5,677.48x = 7,834.02 × 3,193
  4. Step 4: Simplify right side
    5,677.48x = 25,014,025.86
  5. Step 5: Solve for x
    x = 25,014,025.86/5,677.48
  6. Step 6: Final answer
    x = 4,405.83

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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.