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Finding the Fourth Proportional to 3,562.24, 5,342.72 and 965.38

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Solution

The fourth proportional to 3,562.24, 5,342.72 and 965.38 is: 1,447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.24 : 5,342.72 = 965.38 : x
  2. Step 2: Convert to fraction form
    3,562.24/5,342.72 = 965.38/x
  3. Step 3: Cross multiply
    3,562.24x = 5,342.72 × 965.38
  4. Step 4: Simplify right side
    3,562.24x = 5,157,755.03
  5. Step 5: Solve for x
    x = 5,157,755.03/3,562.24
  6. Step 6: Final answer
    x = 1,447.90

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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.