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Finding the Fourth Proportional to 4,589.52, 6,884.27 and 1,992.25

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Solution

The fourth proportional to 4,589.52, 6,884.27 and 1,992.25 is: 2,988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.52 : 6,884.27 = 1,992.25 : x
  2. Step 2: Convert to fraction form
    4,589.52/6,884.27 = 1,992.25/x
  3. Step 3: Cross multiply
    4,589.52x = 6,884.27 × 1,992.25
  4. Step 4: Simplify right side
    4,589.52x = 13,715,186.91
  5. Step 5: Solve for x
    x = 13,715,186.91/4,589.52
  6. Step 6: Final answer
    x = 2,988.37

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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.