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Finding the Fourth Proportional to 5,583.98, 7,705.59 and 3,226.07

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Solution

The fourth proportional to 5,583.98, 7,705.59 and 3,226.07 is: 4,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.98 : 7,705.59 = 3,226.07 : x
  2. Step 2: Convert to fraction form
    5,583.98/7,705.59 = 3,226.07/x
  3. Step 3: Cross multiply
    5,583.98x = 7,705.59 × 3,226.07
  4. Step 4: Simplify right side
    5,583.98x = 24,858,772.73
  5. Step 5: Solve for x
    x = 24,858,772.73/5,583.98
  6. Step 6: Final answer
    x = 4,451.80

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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.