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Finding the Fourth Proportional to 4,805.75, 7,211.46 and 2,032.25

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Solution

The fourth proportional to 4,805.75, 7,211.46 and 2,032.25 is: 3,049.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.75 : 7,211.46 = 2,032.25 : x
  2. Step 2: Convert to fraction form
    4,805.75/7,211.46 = 2,032.25/x
  3. Step 3: Cross multiply
    4,805.75x = 7,211.46 × 2,032.25
  4. Step 4: Simplify right side
    4,805.75x = 14,655,489.59
  5. Step 5: Solve for x
    x = 14,655,489.59/4,805.75
  6. Step 6: Final answer
    x = 3,049.57

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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.