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Finding the Fourth Proportional to 4,246.56, 6,371.82 and 1,782

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Solution

The fourth proportional to 4,246.56, 6,371.82 and 1,782 is: 2,673.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,246.56 : 6,371.82 = 1,782 : x
  2. Step 2: Convert to fraction form
    4,246.56/6,371.82 = 1,782/x
  3. Step 3: Cross multiply
    4,246.56x = 6,371.82 × 1,782
  4. Step 4: Simplify right side
    4,246.56x = 11,354,583.24
  5. Step 5: Solve for x
    x = 11,354,583.24/4,246.56
  6. Step 6: Final answer
    x = 2,673.83

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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.