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Finding the Fourth Proportional to 4,775.85, 7,160.28 and 3,211.97

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Solution

The fourth proportional to 4,775.85, 7,160.28 and 3,211.97 is: 4,815.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.85 : 7,160.28 = 3,211.97 : x
  2. Step 2: Convert to fraction form
    4,775.85/7,160.28 = 3,211.97/x
  3. Step 3: Cross multiply
    4,775.85x = 7,160.28 × 3,211.97
  4. Step 4: Simplify right side
    4,775.85x = 22,998,568.75
  5. Step 5: Solve for x
    x = 22,998,568.75/4,775.85
  6. Step 6: Final answer
    x = 4,815.60

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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.