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Finding the Fourth Proportional to 3,791.81, 5,232.54 and 2,113.29

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Solution

The fourth proportional to 3,791.81, 5,232.54 and 2,113.29 is: 2,916.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.81 : 5,232.54 = 2,113.29 : x
  2. Step 2: Convert to fraction form
    3,791.81/5,232.54 = 2,113.29/x
  3. Step 3: Cross multiply
    3,791.81x = 5,232.54 × 2,113.29
  4. Step 4: Simplify right side
    3,791.81x = 11,057,874.46
  5. Step 5: Solve for x
    x = 11,057,874.46/3,791.81
  6. Step 6: Final answer
    x = 2,916.25

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Why These Related Problems?

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