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Finding the Fourth Proportional to 3,765.88, 5,650.74 and 1,546.33

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Solution

The fourth proportional to 3,765.88, 5,650.74 and 1,546.33 is: 2,320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.88 : 5,650.74 = 1,546.33 : x
  2. Step 2: Convert to fraction form
    3,765.88/5,650.74 = 1,546.33/x
  3. Step 3: Cross multiply
    3,765.88x = 5,650.74 × 1,546.33
  4. Step 4: Simplify right side
    3,765.88x = 8,737,908.78
  5. Step 5: Solve for x
    x = 8,737,908.78/3,765.88
  6. Step 6: Final answer
    x = 2,320.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.