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Finding the Fourth Proportional to 3,791.51, 5,687.06 and 1,452.63

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Solution

The fourth proportional to 3,791.51, 5,687.06 and 1,452.63 is: 2,178.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.51 : 5,687.06 = 1,452.63 : x
  2. Step 2: Convert to fraction form
    3,791.51/5,687.06 = 1,452.63/x
  3. Step 3: Cross multiply
    3,791.51x = 5,687.06 × 1,452.63
  4. Step 4: Simplify right side
    3,791.51x = 8,261,208.03
  5. Step 5: Solve for x
    x = 8,261,208.03/3,791.51
  6. Step 6: Final answer
    x = 2,178.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.