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Finding the Fourth Proportional to 3,791.90, 5,232.69 and 2,113.22

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Solution

The fourth proportional to 3,791.90, 5,232.69 and 2,113.22 is: 2,916.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.90 : 5,232.69 = 2,113.22 : x
  2. Step 2: Convert to fraction form
    3,791.90/5,232.69 = 2,113.22/x
  3. Step 3: Cross multiply
    3,791.90x = 5,232.69 × 2,113.22
  4. Step 4: Simplify right side
    3,791.90x = 11,057,825.16
  5. Step 5: Solve for x
    x = 11,057,825.16/3,791.90
  6. Step 6: Final answer
    x = 2,916.17

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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.