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Finding the Fourth Proportional to 4,873.29, 6,724.92 and 3,105.46

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Solution

The fourth proportional to 4,873.29, 6,724.92 and 3,105.46 is: 4,285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873.29 : 6,724.92 = 3,105.46 : x
  2. Step 2: Convert to fraction form
    4,873.29/6,724.92 = 3,105.46/x
  3. Step 3: Cross multiply
    4,873.29x = 6,724.92 × 3,105.46
  4. Step 4: Simplify right side
    4,873.29x = 20,883,970.06
  5. Step 5: Solve for x
    x = 20,883,970.06/4,873.29
  6. Step 6: Final answer
    x = 4,285.39

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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.