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Finding the Fourth Proportional to 4,546.15, 6,814.18 and 1,912.88

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Solution

The fourth proportional to 4,546.15, 6,814.18 and 1,912.88 is: 2,867.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.15 : 6,814.18 = 1,912.88 : x
  2. Step 2: Convert to fraction form
    4,546.15/6,814.18 = 1,912.88/x
  3. Step 3: Cross multiply
    4,546.15x = 6,814.18 × 1,912.88
  4. Step 4: Simplify right side
    4,546.15x = 13,034,717.30
  5. Step 5: Solve for x
    x = 13,034,717.30/4,546.15
  6. Step 6: Final answer
    x = 2,867.20

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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.