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Finding the Fourth Proportional to 3,992.67, 5,992.85 and 3,741.15

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Solution

The fourth proportional to 3,992.67, 5,992.85 and 3,741.15 is: 5,615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.67 : 5,992.85 = 3,741.15 : x
  2. Step 2: Convert to fraction form
    3,992.67/5,992.85 = 3,741.15/x
  3. Step 3: Cross multiply
    3,992.67x = 5,992.85 × 3,741.15
  4. Step 4: Simplify right side
    3,992.67x = 22,420,132.07
  5. Step 5: Solve for x
    x = 22,420,132.07/3,992.67
  6. Step 6: Final answer
    x = 5,615.32

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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.