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Finding the Fourth Proportional to 3,336.39, 5,004.62 and 871.22

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Solution

The fourth proportional to 3,336.39, 5,004.62 and 871.22 is: 1,306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,336.39 : 5,004.62 = 871.22 : x
  2. Step 2: Convert to fraction form
    3,336.39/5,004.62 = 871.22/x
  3. Step 3: Cross multiply
    3,336.39x = 5,004.62 × 871.22
  4. Step 4: Simplify right side
    3,336.39x = 4,360,136.46
  5. Step 5: Solve for x
    x = 4,360,136.46/3,336.39
  6. Step 6: Final answer
    x = 1,306.84

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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.