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Finding the Fourth Proportional to 6,122.52, 8,449.38 and 3,470.43

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Solution

The fourth proportional to 6,122.52, 8,449.38 and 3,470.43 is: 4,789.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.52 : 8,449.38 = 3,470.43 : x
  2. Step 2: Convert to fraction form
    6,122.52/8,449.38 = 3,470.43/x
  3. Step 3: Cross multiply
    6,122.52x = 8,449.38 × 3,470.43
  4. Step 4: Simplify right side
    6,122.52x = 29,322,981.83
  5. Step 5: Solve for x
    x = 29,322,981.83/6,122.52
  6. Step 6: Final answer
    x = 4,789.36

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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.