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Finding the Fourth Proportional to 3,992.51, 5,989.37 and 2,433.66

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Solution

The fourth proportional to 3,992.51, 5,989.37 and 2,433.66 is: 3,650.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.51 : 5,989.37 = 2,433.66 : x
  2. Step 2: Convert to fraction form
    3,992.51/5,989.37 = 2,433.66/x
  3. Step 3: Cross multiply
    3,992.51x = 5,989.37 × 2,433.66
  4. Step 4: Simplify right side
    3,992.51x = 14,576,078.03
  5. Step 5: Solve for x
    x = 14,576,078.03/3,992.51
  6. Step 6: Final answer
    x = 3,650.86

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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.