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Finding the Fourth Proportional to 3,941.34, 5,941.91 and 3,729.66

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Solution

The fourth proportional to 3,941.34, 5,941.91 and 3,729.66 is: 5,622.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.34 : 5,941.91 = 3,729.66 : x
  2. Step 2: Convert to fraction form
    3,941.34/5,941.91 = 3,729.66/x
  3. Step 3: Cross multiply
    3,941.34x = 5,941.91 × 3,729.66
  4. Step 4: Simplify right side
    3,941.34x = 22,161,285.40
  5. Step 5: Solve for x
    x = 22,161,285.40/3,941.34
  6. Step 6: Final answer
    x = 5,622.78

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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.