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Finding the Fourth Proportional to 3,791.12, 5,683.80 and 3,146

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Solution

The fourth proportional to 3,791.12, 5,683.80 and 3,146 is: 4,716.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.12 : 5,683.80 = 3,146 : x
  2. Step 2: Convert to fraction form
    3,791.12/5,683.80 = 3,146/x
  3. Step 3: Cross multiply
    3,791.12x = 5,683.80 × 3,146
  4. Step 4: Simplify right side
    3,791.12x = 17,881,234.80
  5. Step 5: Solve for x
    x = 17,881,234.80/3,791.12
  6. Step 6: Final answer
    x = 4,716.61

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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.