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Finding the Fourth Proportional to 3,257.68, 4,890.96 and 2,818.24

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Solution

The fourth proportional to 3,257.68, 4,890.96 and 2,818.24 is: 4,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.68 : 4,890.96 = 2,818.24 : x
  2. Step 2: Convert to fraction form
    3,257.68/4,890.96 = 2,818.24/x
  3. Step 3: Cross multiply
    3,257.68x = 4,890.96 × 2,818.24
  4. Step 4: Simplify right side
    3,257.68x = 13,783,899.11
  5. Step 5: Solve for x
    x = 13,783,899.11/3,257.68
  6. Step 6: Final answer
    x = 4,231.20

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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.