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Finding the Fourth Proportional to 5,962.24, 8,945.28 and 2,884.48

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Solution

The fourth proportional to 5,962.24, 8,945.28 and 2,884.48 is: 4,327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.24 : 8,945.28 = 2,884.48 : x
  2. Step 2: Convert to fraction form
    5,962.24/8,945.28 = 2,884.48/x
  3. Step 3: Cross multiply
    5,962.24x = 8,945.28 × 2,884.48
  4. Step 4: Simplify right side
    5,962.24x = 25,802,481.25
  5. Step 5: Solve for x
    x = 25,802,481.25/5,962.24
  6. Step 6: Final answer
    x = 4,327.65

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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.