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Finding the Fourth Proportional to 5,193.99, 7,793.82 and 3,006.99

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Solution

The fourth proportional to 5,193.99, 7,793.82 and 3,006.99 is: 4,512.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.99 : 7,793.82 = 3,006.99 : x
  2. Step 2: Convert to fraction form
    5,193.99/7,793.82 = 3,006.99/x
  3. Step 3: Cross multiply
    5,193.99x = 7,793.82 × 3,006.99
  4. Step 4: Simplify right side
    5,193.99x = 23,435,938.80
  5. Step 5: Solve for x
    x = 23,435,938.80/5,193.99
  6. Step 6: Final answer
    x = 4,512.13

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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.