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Finding the Fourth Proportional to 3,738.78, 5,606.73 and 1,546.98

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Solution

The fourth proportional to 3,738.78, 5,606.73 and 1,546.98 is: 2,319.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.78 : 5,606.73 = 1,546.98 : x
  2. Step 2: Convert to fraction form
    3,738.78/5,606.73 = 1,546.98/x
  3. Step 3: Cross multiply
    3,738.78x = 5,606.73 × 1,546.98
  4. Step 4: Simplify right side
    3,738.78x = 8,673,499.18
  5. Step 5: Solve for x
    x = 8,673,499.18/3,738.78
  6. Step 6: Final answer
    x = 2,319.87

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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.