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Finding the Fourth Proportional to 5,745.60, 7,930.44 and 3,388.50

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Solution

The fourth proportional to 5,745.60, 7,930.44 and 3,388.50 is: 4,677.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.60 : 7,930.44 = 3,388.50 : x
  2. Step 2: Convert to fraction form
    5,745.60/7,930.44 = 3,388.50/x
  3. Step 3: Cross multiply
    5,745.60x = 7,930.44 × 3,388.50
  4. Step 4: Simplify right side
    5,745.60x = 26,872,295.94
  5. Step 5: Solve for x
    x = 26,872,295.94/5,745.60
  6. Step 6: Final answer
    x = 4,677.02

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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.