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Finding the Fourth Proportional to 3,930.63, 5,426.82 and 2,738.13

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Solution

The fourth proportional to 3,930.63, 5,426.82 and 2,738.13 is: 3,780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.63 : 5,426.82 = 2,738.13 : x
  2. Step 2: Convert to fraction form
    3,930.63/5,426.82 = 2,738.13/x
  3. Step 3: Cross multiply
    3,930.63x = 5,426.82 × 2,738.13
  4. Step 4: Simplify right side
    3,930.63x = 14,859,338.65
  5. Step 5: Solve for x
    x = 14,859,338.65/3,930.63
  6. Step 6: Final answer
    x = 3,780.40

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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.