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Finding the Fourth Proportional to 5,180.70, 7,770.99 and 3,101.28

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Solution

The fourth proportional to 5,180.70, 7,770.99 and 3,101.28 is: 4,651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.70 : 7,770.99 = 3,101.28 : x
  2. Step 2: Convert to fraction form
    5,180.70/7,770.99 = 3,101.28/x
  3. Step 3: Cross multiply
    5,180.70x = 7,770.99 × 3,101.28
  4. Step 4: Simplify right side
    5,180.70x = 24,100,000.36
  5. Step 5: Solve for x
    x = 24,100,000.36/5,180.70
  6. Step 6: Final answer
    x = 4,651.89

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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.