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Finding the Fourth Proportional to 4,766.96, 7,149.34 and 1,805.75

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Solution

The fourth proportional to 4,766.96, 7,149.34 and 1,805.75 is: 2,708.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.96 : 7,149.34 = 1,805.75 : x
  2. Step 2: Convert to fraction form
    4,766.96/7,149.34 = 1,805.75/x
  3. Step 3: Cross multiply
    4,766.96x = 7,149.34 × 1,805.75
  4. Step 4: Simplify right side
    4,766.96x = 12,909,914.03
  5. Step 5: Solve for x
    x = 12,909,914.03/4,766.96
  6. Step 6: Final answer
    x = 2,708.21

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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.