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Finding the Fourth Proportional to 5,223.44, 7,834.78 and 2,450.72

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Solution

The fourth proportional to 5,223.44, 7,834.78 and 2,450.72 is: 3,675.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.44 : 7,834.78 = 2,450.72 : x
  2. Step 2: Convert to fraction form
    5,223.44/7,834.78 = 2,450.72/x
  3. Step 3: Cross multiply
    5,223.44x = 7,834.78 × 2,450.72
  4. Step 4: Simplify right side
    5,223.44x = 19,200,852.04
  5. Step 5: Solve for x
    x = 19,200,852.04/5,223.44
  6. Step 6: Final answer
    x = 3,675.90

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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.