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Finding the Fourth Proportional to 3,791.63, 5,232.84 and 2,113.31

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Solution

The fourth proportional to 3,791.63, 5,232.84 and 2,113.31 is: 2,916.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.63 : 5,232.84 = 2,113.31 : x
  2. Step 2: Convert to fraction form
    3,791.63/5,232.84 = 2,113.31/x
  3. Step 3: Cross multiply
    3,791.63x = 5,232.84 × 2,113.31
  4. Step 4: Simplify right side
    3,791.63x = 11,058,602.53
  5. Step 5: Solve for x
    x = 11,058,602.53/3,791.63
  6. Step 6: Final answer
    x = 2,916.58

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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.