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Finding the Fourth Proportional to 5,222.24, 7,835.28 and 2,449.82

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Solution

The fourth proportional to 5,222.24, 7,835.28 and 2,449.82 is: 3,675.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.24 : 7,835.28 = 2,449.82 : x
  2. Step 2: Convert to fraction form
    5,222.24/7,835.28 = 2,449.82/x
  3. Step 3: Cross multiply
    5,222.24x = 7,835.28 × 2,449.82
  4. Step 4: Simplify right side
    5,222.24x = 19,195,025.65
  5. Step 5: Solve for x
    x = 19,195,025.65/5,222.24
  6. Step 6: Final answer
    x = 3,675.63

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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.