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Finding the Fourth Proportional to 5,200.81, 7,793.92 and 2,420.89

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Solution

The fourth proportional to 5,200.81, 7,793.92 and 2,420.89 is: 3,627.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.81 : 7,793.92 = 2,420.89 : x
  2. Step 2: Convert to fraction form
    5,200.81/7,793.92 = 2,420.89/x
  3. Step 3: Cross multiply
    5,200.81x = 7,793.92 × 2,420.89
  4. Step 4: Simplify right side
    5,200.81x = 18,868,206.53
  5. Step 5: Solve for x
    x = 18,868,206.53/5,200.81
  6. Step 6: Final answer
    x = 3,627.94

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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.