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Finding the Fourth Proportional to 5,584.73, 7,705.19 and 3,226.01

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Solution

The fourth proportional to 5,584.73, 7,705.19 and 3,226.01 is: 4,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.73 : 7,705.19 = 3,226.01 : x
  2. Step 2: Convert to fraction form
    5,584.73/7,705.19 = 3,226.01/x
  3. Step 3: Cross multiply
    5,584.73x = 7,705.19 × 3,226.01
  4. Step 4: Simplify right side
    5,584.73x = 24,856,989.53
  5. Step 5: Solve for x
    x = 24,856,989.53/5,584.73
  6. Step 6: Final answer
    x = 4,450.89

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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.