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Finding the Fourth Proportional to 3,827.57, 5,734.55 and 1,601.50

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Solution

The fourth proportional to 3,827.57, 5,734.55 and 1,601.50 is: 2,399.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.57 : 5,734.55 = 1,601.50 : x
  2. Step 2: Convert to fraction form
    3,827.57/5,734.55 = 1,601.50/x
  3. Step 3: Cross multiply
    3,827.57x = 5,734.55 × 1,601.50
  4. Step 4: Simplify right side
    3,827.57x = 9,183,881.83
  5. Step 5: Solve for x
    x = 9,183,881.83/3,827.57
  6. Step 6: Final answer
    x = 2,399.40

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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.