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Finding the Fourth Proportional to 3,941.39, 5,913.20 and 1,168.05

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Solution

The fourth proportional to 3,941.39, 5,913.20 and 1,168.05 is: 1,752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.39 : 5,913.20 = 1,168.05 : x
  2. Step 2: Convert to fraction form
    3,941.39/5,913.20 = 1,168.05/x
  3. Step 3: Cross multiply
    3,941.39x = 5,913.20 × 1,168.05
  4. Step 4: Simplify right side
    3,941.39x = 6,906,938.35
  5. Step 5: Solve for x
    x = 6,906,938.35/3,941.39
  6. Step 6: Final answer
    x = 1,752.41

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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.