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Finding the Fourth Proportional to 5,229.44, 7,843.20 and 1,765.76

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Solution

The fourth proportional to 5,229.44, 7,843.20 and 1,765.76 is: 2,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.44 : 7,843.20 = 1,765.76 : x
  2. Step 2: Convert to fraction form
    5,229.44/7,843.20 = 1,765.76/x
  3. Step 3: Cross multiply
    5,229.44x = 7,843.20 × 1,765.76
  4. Step 4: Simplify right side
    5,229.44x = 13,849,208.83
  5. Step 5: Solve for x
    x = 13,849,208.83/5,229.44
  6. Step 6: Final answer
    x = 2,648.32

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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.