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Finding the Fourth Proportional to 5,214.87, 7,197.84 and 3,224.25

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Solution

The fourth proportional to 5,214.87, 7,197.84 and 3,224.25 is: 4,450.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.87 : 7,197.84 = 3,224.25 : x
  2. Step 2: Convert to fraction form
    5,214.87/7,197.84 = 3,224.25/x
  3. Step 3: Cross multiply
    5,214.87x = 7,197.84 × 3,224.25
  4. Step 4: Simplify right side
    5,214.87x = 23,207,635.62
  5. Step 5: Solve for x
    x = 23,207,635.62/5,214.87
  6. Step 6: Final answer
    x = 4,450.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.