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Finding the Fourth Proportional to 3,841.39, 5,301.23 and 2,162.86

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Solution

The fourth proportional to 3,841.39, 5,301.23 and 2,162.86 is: 2,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.39 : 5,301.23 = 2,162.86 : x
  2. Step 2: Convert to fraction form
    3,841.39/5,301.23 = 2,162.86/x
  3. Step 3: Cross multiply
    3,841.39x = 5,301.23 × 2,162.86
  4. Step 4: Simplify right side
    3,841.39x = 11,465,794.25
  5. Step 5: Solve for x
    x = 11,465,794.25/3,841.39
  6. Step 6: Final answer
    x = 2,984.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.