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Finding the Fourth Proportional to 3,738.78, 5,159.07 and 2,246.82

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Solution

The fourth proportional to 3,738.78, 5,159.07 and 2,246.82 is: 3,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.78 : 5,159.07 = 2,246.82 : x
  2. Step 2: Convert to fraction form
    3,738.78/5,159.07 = 2,246.82/x
  3. Step 3: Cross multiply
    3,738.78x = 5,159.07 × 2,246.82
  4. Step 4: Simplify right side
    3,738.78x = 11,591,501.66
  5. Step 5: Solve for x
    x = 11,591,501.66/3,738.78
  6. Step 6: Final answer
    x = 3,100.34

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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.