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Finding the Fourth Proportional to 5,506.74, 8,262.54 and 2,226.24

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Solution

The fourth proportional to 5,506.74, 8,262.54 and 2,226.24 is: 3,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.74 : 8,262.54 = 2,226.24 : x
  2. Step 2: Convert to fraction form
    5,506.74/8,262.54 = 2,226.24/x
  3. Step 3: Cross multiply
    5,506.74x = 8,262.54 × 2,226.24
  4. Step 4: Simplify right side
    5,506.74x = 18,394,397.05
  5. Step 5: Solve for x
    x = 18,394,397.05/5,506.74
  6. Step 6: Final answer
    x = 3,340.34

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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.