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Finding the Fourth Proportional to 4,768.92, 7,151.58 and 2,302.92

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Solution

The fourth proportional to 4,768.92, 7,151.58 and 2,302.92 is: 3,453.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.92 : 7,151.58 = 2,302.92 : x
  2. Step 2: Convert to fraction form
    4,768.92/7,151.58 = 2,302.92/x
  3. Step 3: Cross multiply
    4,768.92x = 7,151.58 × 2,302.92
  4. Step 4: Simplify right side
    4,768.92x = 16,469,516.61
  5. Step 5: Solve for x
    x = 16,469,516.61/4,768.92
  6. Step 6: Final answer
    x = 3,453.51

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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.