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Finding the Fourth Proportional to 4,765.67, 7,147.14 and 1,645.55

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Solution

The fourth proportional to 4,765.67, 7,147.14 and 1,645.55 is: 2,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.67 : 7,147.14 = 1,645.55 : x
  2. Step 2: Convert to fraction form
    4,765.67/7,147.14 = 1,645.55/x
  3. Step 3: Cross multiply
    4,765.67x = 7,147.14 × 1,645.55
  4. Step 4: Simplify right side
    4,765.67x = 11,760,961.12
  5. Step 5: Solve for x
    x = 11,760,961.12/4,765.67
  6. Step 6: Final answer
    x = 2,467.85

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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.