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Finding the Fourth Proportional to 3,791.19, 5,683.32 and 3,209.94

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Solution

The fourth proportional to 3,791.19, 5,683.32 and 3,209.94 is: 4,811.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.19 : 5,683.32 = 3,209.94 : x
  2. Step 2: Convert to fraction form
    3,791.19/5,683.32 = 3,209.94/x
  3. Step 3: Cross multiply
    3,791.19x = 5,683.32 × 3,209.94
  4. Step 4: Simplify right side
    3,791.19x = 18,243,116.20
  5. Step 5: Solve for x
    x = 18,243,116.20/3,791.19
  6. Step 6: Final answer
    x = 4,811.98

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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.