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Finding the Fourth Proportional to 3,588.62, 5,382.90 and 3,399.08

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Solution

The fourth proportional to 3,588.62, 5,382.90 and 3,399.08 is: 5,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.62 : 5,382.90 = 3,399.08 : x
  2. Step 2: Convert to fraction form
    3,588.62/5,382.90 = 3,399.08/x
  3. Step 3: Cross multiply
    3,588.62x = 5,382.90 × 3,399.08
  4. Step 4: Simplify right side
    3,588.62x = 18,296,907.73
  5. Step 5: Solve for x
    x = 18,296,907.73/3,588.62
  6. Step 6: Final answer
    x = 5,098.59

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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.