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Finding the Fourth Proportional to 5,584.18, 7,705.62 and 3,226.18

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Solution

The fourth proportional to 5,584.18, 7,705.62 and 3,226.18 is: 4,451.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.18 : 7,705.62 = 3,226.18 : x
  2. Step 2: Convert to fraction form
    5,584.18/7,705.62 = 3,226.18/x
  3. Step 3: Cross multiply
    5,584.18x = 7,705.62 × 3,226.18
  4. Step 4: Simplify right side
    5,584.18x = 24,859,717.13
  5. Step 5: Solve for x
    x = 24,859,717.13/5,584.18
  6. Step 6: Final answer
    x = 4,451.81

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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.