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Finding the Fourth Proportional to 3,589.52, 5,383.80 and 992.72

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Solution

The fourth proportional to 3,589.52, 5,383.80 and 992.72 is: 1,488.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.52 : 5,383.80 = 992.72 : x
  2. Step 2: Convert to fraction form
    3,589.52/5,383.80 = 992.72/x
  3. Step 3: Cross multiply
    3,589.52x = 5,383.80 × 992.72
  4. Step 4: Simplify right side
    3,589.52x = 5,344,605.94
  5. Step 5: Solve for x
    x = 5,344,605.94/3,589.52
  6. Step 6: Final answer
    x = 1,488.95

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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.