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Finding the Fourth Proportional to 5,794.92, 8,677.74 and 4,161.96

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Solution

The fourth proportional to 5,794.92, 8,677.74 and 4,161.96 is: 6,232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.92 : 8,677.74 = 4,161.96 : x
  2. Step 2: Convert to fraction form
    5,794.92/8,677.74 = 4,161.96/x
  3. Step 3: Cross multiply
    5,794.92x = 8,677.74 × 4,161.96
  4. Step 4: Simplify right side
    5,794.92x = 36,116,406.77
  5. Step 5: Solve for x
    x = 36,116,406.77/5,794.92
  6. Step 6: Final answer
    x = 6,232.43

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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.