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Finding the Fourth Proportional to 3,768.66, 5,650.90 and 1,546.90

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Solution

The fourth proportional to 3,768.66, 5,650.90 and 1,546.90 is: 2,319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.66 : 5,650.90 = 1,546.90 : x
  2. Step 2: Convert to fraction form
    3,768.66/5,650.90 = 1,546.90/x
  3. Step 3: Cross multiply
    3,768.66x = 5,650.90 × 1,546.90
  4. Step 4: Simplify right side
    3,768.66x = 8,741,359.22
  5. Step 5: Solve for x
    x = 8,741,359.22/3,768.66
  6. Step 6: Final answer
    x = 2,319.49

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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.