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Finding the Fourth Proportional to 3,589.30, 5,384.25 and 992.24

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Solution

The fourth proportional to 3,589.30, 5,384.25 and 992.24 is: 1,488.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.30 : 5,384.25 = 992.24 : x
  2. Step 2: Convert to fraction form
    3,589.30/5,384.25 = 992.24/x
  3. Step 3: Cross multiply
    3,589.30x = 5,384.25 × 992.24
  4. Step 4: Simplify right side
    3,589.30x = 5,342,441.30
  5. Step 5: Solve for x
    x = 5,342,441.30/3,589.30
  6. Step 6: Final answer
    x = 1,488.44

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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.