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Finding the Fourth Proportional to 4,775.99, 7,168.85 and 3,211.07

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Solution

The fourth proportional to 4,775.99, 7,168.85 and 3,211.07 is: 4,819.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.99 : 7,168.85 = 3,211.07 : x
  2. Step 2: Convert to fraction form
    4,775.99/7,168.85 = 3,211.07/x
  3. Step 3: Cross multiply
    4,775.99x = 7,168.85 × 3,211.07
  4. Step 4: Simplify right side
    4,775.99x = 23,019,663.11
  5. Step 5: Solve for x
    x = 23,019,663.11/4,775.99
  6. Step 6: Final answer
    x = 4,819.87

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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.