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Finding the Fourth Proportional to 4,297.68, 6,450.12 and 2,450.52

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Solution

The fourth proportional to 4,297.68, 6,450.12 and 2,450.52 is: 3,677.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.68 : 6,450.12 = 2,450.52 : x
  2. Step 2: Convert to fraction form
    4,297.68/6,450.12 = 2,450.52/x
  3. Step 3: Cross multiply
    4,297.68x = 6,450.12 × 2,450.52
  4. Step 4: Simplify right side
    4,297.68x = 15,806,148.06
  5. Step 5: Solve for x
    x = 15,806,148.06/4,297.68
  6. Step 6: Final answer
    x = 3,677.83

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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.