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Finding the Fourth Proportional to 4,253.72, 6,375.11 and 1,785.14

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Solution

The fourth proportional to 4,253.72, 6,375.11 and 1,785.14 is: 2,675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.72 : 6,375.11 = 1,785.14 : x
  2. Step 2: Convert to fraction form
    4,253.72/6,375.11 = 1,785.14/x
  3. Step 3: Cross multiply
    4,253.72x = 6,375.11 × 1,785.14
  4. Step 4: Simplify right side
    4,253.72x = 11,380,446.97
  5. Step 5: Solve for x
    x = 11,380,446.97/4,253.72
  6. Step 6: Final answer
    x = 2,675.41

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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.