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Finding the Fourth Proportional to 5,192.46, 7,782.21 and 2,596.14

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Solution

The fourth proportional to 5,192.46, 7,782.21 and 2,596.14 is: 3,890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.46 : 7,782.21 = 2,596.14 : x
  2. Step 2: Convert to fraction form
    5,192.46/7,782.21 = 2,596.14/x
  3. Step 3: Cross multiply
    5,192.46x = 7,782.21 × 2,596.14
  4. Step 4: Simplify right side
    5,192.46x = 20,203,706.67
  5. Step 5: Solve for x
    x = 20,203,706.67/5,192.46
  6. Step 6: Final answer
    x = 3,890.97

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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.