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Finding the Fourth Proportional to 4,969.67, 7,447.82 and 4,034.75

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Solution

The fourth proportional to 4,969.67, 7,447.82 and 4,034.75 is: 6,046.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.67 : 7,447.82 = 4,034.75 : x
  2. Step 2: Convert to fraction form
    4,969.67/7,447.82 = 4,034.75/x
  3. Step 3: Cross multiply
    4,969.67x = 7,447.82 × 4,034.75
  4. Step 4: Simplify right side
    4,969.67x = 30,050,034.33
  5. Step 5: Solve for x
    x = 30,050,034.33/4,969.67
  6. Step 6: Final answer
    x = 6,046.69

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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.