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Finding the Fourth Proportional to 3,791.72, 5,686.86 and 1,293.02

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Solution

The fourth proportional to 3,791.72, 5,686.86 and 1,293.02 is: 1,939.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.72 : 5,686.86 = 1,293.02 : x
  2. Step 2: Convert to fraction form
    3,791.72/5,686.86 = 1,293.02/x
  3. Step 3: Cross multiply
    3,791.72x = 5,686.86 × 1,293.02
  4. Step 4: Simplify right side
    3,791.72x = 7,353,223.72
  5. Step 5: Solve for x
    x = 7,353,223.72/3,791.72
  6. Step 6: Final answer
    x = 1,939.28

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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.