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Finding the Fourth Proportional to 4,241.68, 6,362.16 and 1,163.68

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Solution

The fourth proportional to 4,241.68, 6,362.16 and 1,163.68 is: 1,745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.68 : 6,362.16 = 1,163.68 : x
  2. Step 2: Convert to fraction form
    4,241.68/6,362.16 = 1,163.68/x
  3. Step 3: Cross multiply
    4,241.68x = 6,362.16 × 1,163.68
  4. Step 4: Simplify right side
    4,241.68x = 7,403,518.35
  5. Step 5: Solve for x
    x = 7,403,518.35/4,241.68
  6. Step 6: Final answer
    x = 1,745.42

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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.