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Finding the Fourth Proportional to 5,745.68, 7,929.07 and 3,227.90

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Solution

The fourth proportional to 5,745.68, 7,929.07 and 3,227.90 is: 4,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.68 : 7,929.07 = 3,227.90 : x
  2. Step 2: Convert to fraction form
    5,745.68/7,929.07 = 3,227.90/x
  3. Step 3: Cross multiply
    5,745.68x = 7,929.07 × 3,227.90
  4. Step 4: Simplify right side
    5,745.68x = 25,594,260.10
  5. Step 5: Solve for x
    x = 25,594,260.10/5,745.68
  6. Step 6: Final answer
    x = 4,454.52

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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.