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Finding the Fourth Proportional to 5,171.75, 7,751.04 and 2,538.62

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Solution

The fourth proportional to 5,171.75, 7,751.04 and 2,538.62 is: 3,804.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.75 : 7,751.04 = 2,538.62 : x
  2. Step 2: Convert to fraction form
    5,171.75/7,751.04 = 2,538.62/x
  3. Step 3: Cross multiply
    5,171.75x = 7,751.04 × 2,538.62
  4. Step 4: Simplify right side
    5,171.75x = 19,676,906.41
  5. Step 5: Solve for x
    x = 19,676,906.41/5,171.75
  6. Step 6: Final answer
    x = 3,804.69

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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.