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Finding the Fourth Proportional to 5,697.92, 8,546.72 and 3,105.92

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Solution

The fourth proportional to 5,697.92, 8,546.72 and 3,105.92 is: 4,658.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.92 : 8,546.72 = 3,105.92 : x
  2. Step 2: Convert to fraction form
    5,697.92/8,546.72 = 3,105.92/x
  3. Step 3: Cross multiply
    5,697.92x = 8,546.72 × 3,105.92
  4. Step 4: Simplify right side
    5,697.92x = 26,545,428.58
  5. Step 5: Solve for x
    x = 26,545,428.58/5,697.92
  6. Step 6: Final answer
    x = 4,658.79

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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.