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Finding the Fourth Proportional to 5,223.19, 7,834.41 and 2,450.47

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Solution

The fourth proportional to 5,223.19, 7,834.41 and 2,450.47 is: 3,675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.19 : 7,834.41 = 2,450.47 : x
  2. Step 2: Convert to fraction form
    5,223.19/7,834.41 = 2,450.47/x
  3. Step 3: Cross multiply
    5,223.19x = 7,834.41 × 2,450.47
  4. Step 4: Simplify right side
    5,223.19x = 19,197,947.50
  5. Step 5: Solve for x
    x = 19,197,947.50/5,223.19
  6. Step 6: Final answer
    x = 3,675.53

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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.