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Finding the Fourth Proportional to 5,546.62, 8,329.85 and 5,323.65

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Solution

The fourth proportional to 5,546.62, 8,329.85 and 5,323.65 is: 7,994.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.62 : 8,329.85 = 5,323.65 : x
  2. Step 2: Convert to fraction form
    5,546.62/8,329.85 = 5,323.65/x
  3. Step 3: Cross multiply
    5,546.62x = 8,329.85 × 5,323.65
  4. Step 4: Simplify right side
    5,546.62x = 44,345,179.33
  5. Step 5: Solve for x
    x = 44,345,179.33/5,546.62
  6. Step 6: Final answer
    x = 7,994.99

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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.