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Finding the Fourth Proportional to 4,763.92, 7,144.08 and 2,297.92

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Solution

The fourth proportional to 4,763.92, 7,144.08 and 2,297.92 is: 3,446.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.92 : 7,144.08 = 2,297.92 : x
  2. Step 2: Convert to fraction form
    4,763.92/7,144.08 = 2,297.92/x
  3. Step 3: Cross multiply
    4,763.92x = 7,144.08 × 2,297.92
  4. Step 4: Simplify right side
    4,763.92x = 16,416,524.31
  5. Step 5: Solve for x
    x = 16,416,524.31/4,763.92
  6. Step 6: Final answer
    x = 3,446.01

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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.