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Finding the Fourth Proportional to 3,992.53, 5,989.74 and 2,013.29

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Solution

The fourth proportional to 3,992.53, 5,989.74 and 2,013.29 is: 3,020.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.53 : 5,989.74 = 2,013.29 : x
  2. Step 2: Convert to fraction form
    3,992.53/5,989.74 = 2,013.29/x
  3. Step 3: Cross multiply
    3,992.53x = 5,989.74 × 2,013.29
  4. Step 4: Simplify right side
    3,992.53x = 12,059,083.64
  5. Step 5: Solve for x
    x = 12,059,083.64/3,992.53
  6. Step 6: Final answer
    x = 3,020.42

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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.