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Finding the Fourth Proportional to 3,589.04, 5,382.84 and 992.12

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Solution

The fourth proportional to 3,589.04, 5,382.84 and 992.12 is: 1,487.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.04 : 5,382.84 = 992.12 : x
  2. Step 2: Convert to fraction form
    3,589.04/5,382.84 = 992.12/x
  3. Step 3: Cross multiply
    3,589.04x = 5,382.84 × 992.12
  4. Step 4: Simplify right side
    3,589.04x = 5,340,423.22
  5. Step 5: Solve for x
    x = 5,340,423.22/3,589.04
  6. Step 6: Final answer
    x = 1,487.98

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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.