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Finding the Fourth Proportional to 3,998.92, 5,519.62 and 3,203.50

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Solution

The fourth proportional to 3,998.92, 5,519.62 and 3,203.50 is: 4,421.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.92 : 5,519.62 = 3,203.50 : x
  2. Step 2: Convert to fraction form
    3,998.92/5,519.62 = 3,203.50/x
  3. Step 3: Cross multiply
    3,998.92x = 5,519.62 × 3,203.50
  4. Step 4: Simplify right side
    3,998.92x = 17,682,102.67
  5. Step 5: Solve for x
    x = 17,682,102.67/3,998.92
  6. Step 6: Final answer
    x = 4,421.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.