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Finding the Fourth Proportional to 3,589.10, 5,383.95 and 992.03

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Solution

The fourth proportional to 3,589.10, 5,383.95 and 992.03 is: 1,488.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.10 : 5,383.95 = 992.03 : x
  2. Step 2: Convert to fraction form
    3,589.10/5,383.95 = 992.03/x
  3. Step 3: Cross multiply
    3,589.10x = 5,383.95 × 992.03
  4. Step 4: Simplify right side
    3,589.10x = 5,341,013.00
  5. Step 5: Solve for x
    x = 5,341,013.00/3,589.10
  6. Step 6: Final answer
    x = 1,488.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.