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Finding the Fourth Proportional to 4,284.56, 6,427.79 and 1,821.49

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Solution

The fourth proportional to 4,284.56, 6,427.79 and 1,821.49 is: 2,732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284.56 : 6,427.79 = 1,821.49 : x
  2. Step 2: Convert to fraction form
    4,284.56/6,427.79 = 1,821.49/x
  3. Step 3: Cross multiply
    4,284.56x = 6,427.79 × 1,821.49
  4. Step 4: Simplify right side
    4,284.56x = 11,708,136.86
  5. Step 5: Solve for x
    x = 11,708,136.86/4,284.56
  6. Step 6: Final answer
    x = 2,732.63

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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.