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Finding the Fourth Proportional to 5,193.90, 7,791.21 and 1,496.16

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Solution

The fourth proportional to 5,193.90, 7,791.21 and 1,496.16 is: 2,244.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.90 : 7,791.21 = 1,496.16 : x
  2. Step 2: Convert to fraction form
    5,193.90/7,791.21 = 1,496.16/x
  3. Step 3: Cross multiply
    5,193.90x = 7,791.21 × 1,496.16
  4. Step 4: Simplify right side
    5,193.90x = 11,656,896.75
  5. Step 5: Solve for x
    x = 11,656,896.75/5,193.90
  6. Step 6: Final answer
    x = 2,244.34

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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.