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Finding the Fourth Proportional to 6,471.27, 8,929.26 and 3,819.20

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Solution

The fourth proportional to 6,471.27, 8,929.26 and 3,819.20 is: 5,269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.27 : 8,929.26 = 3,819.20 : x
  2. Step 2: Convert to fraction form
    6,471.27/8,929.26 = 3,819.20/x
  3. Step 3: Cross multiply
    6,471.27x = 8,929.26 × 3,819.20
  4. Step 4: Simplify right side
    6,471.27x = 34,102,585.15
  5. Step 5: Solve for x
    x = 34,102,585.15/6,471.27
  6. Step 6: Final answer
    x = 5,269.84

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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.