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Finding the Fourth Proportional to 5,380.71, 8,072.58 and 1,682.98

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Solution

The fourth proportional to 5,380.71, 8,072.58 and 1,682.98 is: 2,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.71 : 8,072.58 = 1,682.98 : x
  2. Step 2: Convert to fraction form
    5,380.71/8,072.58 = 1,682.98/x
  3. Step 3: Cross multiply
    5,380.71x = 8,072.58 × 1,682.98
  4. Step 4: Simplify right side
    5,380.71x = 13,585,990.69
  5. Step 5: Solve for x
    x = 13,585,990.69/5,380.71
  6. Step 6: Final answer
    x = 2,524.94

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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.