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Finding the Fourth Proportional to 3,791.28, 5,686.94 and 2,366.94

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Solution

The fourth proportional to 3,791.28, 5,686.94 and 2,366.94 is: 3,550.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.28 : 5,686.94 = 2,366.94 : x
  2. Step 2: Convert to fraction form
    3,791.28/5,686.94 = 2,366.94/x
  3. Step 3: Cross multiply
    3,791.28x = 5,686.94 × 2,366.94
  4. Step 4: Simplify right side
    3,791.28x = 13,460,645.76
  5. Step 5: Solve for x
    x = 13,460,645.76/3,791.28
  6. Step 6: Final answer
    x = 3,550.42

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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.