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Finding the Fourth Proportional to 5,381.43, 8,072.10 and 3,188.58

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Solution

The fourth proportional to 5,381.43, 8,072.10 and 3,188.58 is: 4,782.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.43 : 8,072.10 = 3,188.58 : x
  2. Step 2: Convert to fraction form
    5,381.43/8,072.10 = 3,188.58/x
  3. Step 3: Cross multiply
    5,381.43x = 8,072.10 × 3,188.58
  4. Step 4: Simplify right side
    5,381.43x = 25,738,536.62
  5. Step 5: Solve for x
    x = 25,738,536.62/5,381.43
  6. Step 6: Final answer
    x = 4,782.84

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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.