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Finding the Fourth Proportional to 5,661.92, 8,490.72 and 2,198.72

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Solution

The fourth proportional to 5,661.92, 8,490.72 and 2,198.72 is: 3,297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.92 : 8,490.72 = 2,198.72 : x
  2. Step 2: Convert to fraction form
    5,661.92/8,490.72 = 2,198.72/x
  3. Step 3: Cross multiply
    5,661.92x = 8,490.72 × 2,198.72
  4. Step 4: Simplify right side
    5,661.92x = 18,668,715.88
  5. Step 5: Solve for x
    x = 18,668,715.88/5,661.92
  6. Step 6: Final answer
    x = 3,297.24

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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.