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Finding the Fourth Proportional to 5,584.05, 7,705.83 and 3,066.15

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Solution

The fourth proportional to 5,584.05, 7,705.83 and 3,066.15 is: 4,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.05 : 7,705.83 = 3,066.15 : x
  2. Step 2: Convert to fraction form
    5,584.05/7,705.83 = 3,066.15/x
  3. Step 3: Cross multiply
    5,584.05x = 7,705.83 × 3,066.15
  4. Step 4: Simplify right side
    5,584.05x = 23,627,230.65
  5. Step 5: Solve for x
    x = 23,627,230.65/5,584.05
  6. Step 6: Final answer
    x = 4,231.20

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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.