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Finding the Fourth Proportional to 4,765.22, 7,149 and 3,849.08

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Solution

The fourth proportional to 4,765.22, 7,149 and 3,849.08 is: 5,774.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.22 : 7,149 = 3,849.08 : x
  2. Step 2: Convert to fraction form
    4,765.22/7,149 = 3,849.08/x
  3. Step 3: Cross multiply
    4,765.22x = 7,149 × 3,849.08
  4. Step 4: Simplify right side
    4,765.22x = 27,517,072.92
  5. Step 5: Solve for x
    x = 27,517,072.92/4,765.22
  6. Step 6: Final answer
    x = 5,774.57

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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.