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Finding the Fourth Proportional to 4,735.26, 7,103.70 and 1,447.62

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Solution

The fourth proportional to 4,735.26, 7,103.70 and 1,447.62 is: 2,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.26 : 7,103.70 = 1,447.62 : x
  2. Step 2: Convert to fraction form
    4,735.26/7,103.70 = 1,447.62/x
  3. Step 3: Cross multiply
    4,735.26x = 7,103.70 × 1,447.62
  4. Step 4: Simplify right side
    4,735.26x = 10,283,458.19
  5. Step 5: Solve for x
    x = 10,283,458.19/4,735.26
  6. Step 6: Final answer
    x = 2,171.68

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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.