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Finding the Fourth Proportional to 3,827.94, 5,735.11 and 1,601.87

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Solution

The fourth proportional to 3,827.94, 5,735.11 and 1,601.87 is: 2,399.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.94 : 5,735.11 = 1,601.87 : x
  2. Step 2: Convert to fraction form
    3,827.94/5,735.11 = 1,601.87/x
  3. Step 3: Cross multiply
    3,827.94x = 5,735.11 × 1,601.87
  4. Step 4: Simplify right side
    3,827.94x = 9,186,900.66
  5. Step 5: Solve for x
    x = 9,186,900.66/3,827.94
  6. Step 6: Final answer
    x = 2,399.96

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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.