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Finding the Fourth Proportional to 3,336.27, 5,004.39 and 871.08

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Solution

The fourth proportional to 3,336.27, 5,004.39 and 871.08 is: 1,306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,336.27 : 5,004.39 = 871.08 : x
  2. Step 2: Convert to fraction form
    3,336.27/5,004.39 = 871.08/x
  3. Step 3: Cross multiply
    3,336.27x = 5,004.39 × 871.08
  4. Step 4: Simplify right side
    3,336.27x = 4,359,224.04
  5. Step 5: Solve for x
    x = 4,359,224.04/3,336.27
  6. Step 6: Final answer
    x = 1,306.62

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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.