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Finding the Fourth Proportional to 3,493.43, 5,233.11 and 1,616.68

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Solution

The fourth proportional to 3,493.43, 5,233.11 and 1,616.68 is: 2,421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.43 : 5,233.11 = 1,616.68 : x
  2. Step 2: Convert to fraction form
    3,493.43/5,233.11 = 1,616.68/x
  3. Step 3: Cross multiply
    3,493.43x = 5,233.11 × 1,616.68
  4. Step 4: Simplify right side
    3,493.43x = 8,460,238.11
  5. Step 5: Solve for x
    x = 8,460,238.11/3,493.43
  6. Step 6: Final answer
    x = 2,421.76

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