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Finding the Fourth Proportional to 3,791.81, 5,708.19 and 3,410.36

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Solution

The fourth proportional to 3,791.81, 5,708.19 and 3,410.36 is: 5,133.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.81 : 5,708.19 = 3,410.36 : x
  2. Step 2: Convert to fraction form
    3,791.81/5,708.19 = 3,410.36/x
  3. Step 3: Cross multiply
    3,791.81x = 5,708.19 × 3,410.36
  4. Step 4: Simplify right side
    3,791.81x = 19,466,954.31
  5. Step 5: Solve for x
    x = 19,466,954.31/3,791.81
  6. Step 6: Final answer
    x = 5,133.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.