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Finding the Fourth Proportional to 5,644.12, 7,782.80 and 3,851.80

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Solution

The fourth proportional to 5,644.12, 7,782.80 and 3,851.80 is: 5,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.12 : 7,782.80 = 3,851.80 : x
  2. Step 2: Convert to fraction form
    5,644.12/7,782.80 = 3,851.80/x
  3. Step 3: Cross multiply
    5,644.12x = 7,782.80 × 3,851.80
  4. Step 4: Simplify right side
    5,644.12x = 29,977,789.04
  5. Step 5: Solve for x
    x = 29,977,789.04/5,644.12
  6. Step 6: Final answer
    x = 5,311.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.