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Finding the Fourth Proportional to 5,745.58, 7,929.04 and 3,227.90

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Solution

The fourth proportional to 5,745.58, 7,929.04 and 3,227.90 is: 4,454.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.58 : 7,929.04 = 3,227.90 : x
  2. Step 2: Convert to fraction form
    5,745.58/7,929.04 = 3,227.90/x
  3. Step 3: Cross multiply
    5,745.58x = 7,929.04 × 3,227.90
  4. Step 4: Simplify right side
    5,745.58x = 25,594,151.15
  5. Step 5: Solve for x
    x = 25,594,151.15/5,745.58
  6. Step 6: Final answer
    x = 4,454.58

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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.