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Finding the Fourth Proportional to 5,234.92, 7,853.94 and 2,113.32

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Solution

The fourth proportional to 5,234.92, 7,853.94 and 2,113.32 is: 3,170.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.92 : 7,853.94 = 2,113.32 : x
  2. Step 2: Convert to fraction form
    5,234.92/7,853.94 = 2,113.32/x
  3. Step 3: Cross multiply
    5,234.92x = 7,853.94 × 2,113.32
  4. Step 4: Simplify right side
    5,234.92x = 16,597,888.48
  5. Step 5: Solve for x
    x = 16,597,888.48/5,234.92
  6. Step 6: Final answer
    x = 3,170.61

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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.