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Finding the Fourth Proportional to 4,297.92, 6,441.30 and 2,449.86

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Solution

The fourth proportional to 4,297.92, 6,441.30 and 2,449.86 is: 3,671.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.92 : 6,441.30 = 2,449.86 : x
  2. Step 2: Convert to fraction form
    4,297.92/6,441.30 = 2,449.86/x
  3. Step 3: Cross multiply
    4,297.92x = 6,441.30 × 2,449.86
  4. Step 4: Simplify right side
    4,297.92x = 15,780,283.22
  5. Step 5: Solve for x
    x = 15,780,283.22/4,297.92
  6. Step 6: Final answer
    x = 3,671.61

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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.