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Finding the Fourth Proportional to 4,089.91, 5,644.07 and 2,226.91

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Solution

The fourth proportional to 4,089.91, 5,644.07 and 2,226.91 is: 3,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.91 : 5,644.07 = 2,226.91 : x
  2. Step 2: Convert to fraction form
    4,089.91/5,644.07 = 2,226.91/x
  3. Step 3: Cross multiply
    4,089.91x = 5,644.07 × 2,226.91
  4. Step 4: Simplify right side
    4,089.91x = 12,568,835.92
  5. Step 5: Solve for x
    x = 12,568,835.92/4,089.91
  6. Step 6: Final answer
    x = 3,073.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.