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Finding the Fourth Proportional to 5,220.89, 7,830.50 and 1,933.23

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Solution

The fourth proportional to 5,220.89, 7,830.50 and 1,933.23 is: 2,899.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.89 : 7,830.50 = 1,933.23 : x
  2. Step 2: Convert to fraction form
    5,220.89/7,830.50 = 1,933.23/x
  3. Step 3: Cross multiply
    5,220.89x = 7,830.50 × 1,933.23
  4. Step 4: Simplify right side
    5,220.89x = 15,138,147.85
  5. Step 5: Solve for x
    x = 15,138,147.85/5,220.89
  6. Step 6: Final answer
    x = 2,899.54

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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.