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Finding the Fourth Proportional to 4,168.96, 5,745.28 and 3,607.68

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Solution

The fourth proportional to 4,168.96, 5,745.28 and 3,607.68 is: 4,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.96 : 5,745.28 = 3,607.68 : x
  2. Step 2: Convert to fraction form
    4,168.96/5,745.28 = 3,607.68/x
  3. Step 3: Cross multiply
    4,168.96x = 5,745.28 × 3,607.68
  4. Step 4: Simplify right side
    4,168.96x = 20,727,131.75
  5. Step 5: Solve for x
    x = 20,727,131.75/4,168.96
  6. Step 6: Final answer
    x = 4,971.78

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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.