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Finding the Fourth Proportional to 3,274.29, 4,917.71 and 2,806.82

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Solution

The fourth proportional to 3,274.29, 4,917.71 and 2,806.82 is: 4,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.29 : 4,917.71 = 2,806.82 : x
  2. Step 2: Convert to fraction form
    3,274.29/4,917.71 = 2,806.82/x
  3. Step 3: Cross multiply
    3,274.29x = 4,917.71 × 2,806.82
  4. Step 4: Simplify right side
    3,274.29x = 13,803,127.65
  5. Step 5: Solve for x
    x = 13,803,127.65/3,274.29
  6. Step 6: Final answer
    x = 4,215.61

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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.