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Finding the Fourth Proportional to 3,546.30, 5,318.10 and 1,080.30

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Solution

The fourth proportional to 3,546.30, 5,318.10 and 1,080.30 is: 1,620.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.30 : 5,318.10 = 1,080.30 : x
  2. Step 2: Convert to fraction form
    3,546.30/5,318.10 = 1,080.30/x
  3. Step 3: Cross multiply
    3,546.30x = 5,318.10 × 1,080.30
  4. Step 4: Simplify right side
    3,546.30x = 5,745,143.43
  5. Step 5: Solve for x
    x = 5,745,143.43/3,546.30
  6. Step 6: Final answer
    x = 1,620.04

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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.