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Finding the Fourth Proportional to 3,549.72, 5,325.43 and 1,601.92

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Solution

The fourth proportional to 3,549.72, 5,325.43 and 1,601.92 is: 2,403.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.72 : 5,325.43 = 1,601.92 : x
  2. Step 2: Convert to fraction form
    3,549.72/5,325.43 = 1,601.92/x
  3. Step 3: Cross multiply
    3,549.72x = 5,325.43 × 1,601.92
  4. Step 4: Simplify right side
    3,549.72x = 8,530,912.83
  5. Step 5: Solve for x
    x = 8,530,912.83/3,549.72
  6. Step 6: Final answer
    x = 2,403.26

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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.