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Finding the Fourth Proportional to 3,791.85, 5,686.97 and 1,816.35

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Solution

The fourth proportional to 3,791.85, 5,686.97 and 1,816.35 is: 2,724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.85 : 5,686.97 = 1,816.35 : x
  2. Step 2: Convert to fraction form
    3,791.85/5,686.97 = 1,816.35/x
  3. Step 3: Cross multiply
    3,791.85x = 5,686.97 × 1,816.35
  4. Step 4: Simplify right side
    3,791.85x = 10,329,518.88
  5. Step 5: Solve for x
    x = 10,329,518.88/3,791.85
  6. Step 6: Final answer
    x = 2,724.14

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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.