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Finding the Fourth Proportional to 5,381.40, 8,080.20 and 4,150.20

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Solution

The fourth proportional to 5,381.40, 8,080.20 and 4,150.20 is: 6,231.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.40 : 8,080.20 = 4,150.20 : x
  2. Step 2: Convert to fraction form
    5,381.40/8,080.20 = 4,150.20/x
  3. Step 3: Cross multiply
    5,381.40x = 8,080.20 × 4,150.20
  4. Step 4: Simplify right side
    5,381.40x = 33,534,446.04
  5. Step 5: Solve for x
    x = 33,534,446.04/5,381.40
  6. Step 6: Final answer
    x = 6,231.55

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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.