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Finding the Fourth Proportional to 5,222.24, 7,833.12 and 1,524.32

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Solution

The fourth proportional to 5,222.24, 7,833.12 and 1,524.32 is: 2,286.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.24 : 7,833.12 = 1,524.32 : x
  2. Step 2: Convert to fraction form
    5,222.24/7,833.12 = 1,524.32/x
  3. Step 3: Cross multiply
    5,222.24x = 7,833.12 × 1,524.32
  4. Step 4: Simplify right side
    5,222.24x = 11,940,181.48
  5. Step 5: Solve for x
    x = 11,940,181.48/5,222.24
  6. Step 6: Final answer
    x = 2,286.41

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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.