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Finding the Fourth Proportional to 3,968.42, 5,934.39 and 2,917.46

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Solution

The fourth proportional to 3,968.42, 5,934.39 and 2,917.46 is: 4,362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.42 : 5,934.39 = 2,917.46 : x
  2. Step 2: Convert to fraction form
    3,968.42/5,934.39 = 2,917.46/x
  3. Step 3: Cross multiply
    3,968.42x = 5,934.39 × 2,917.46
  4. Step 4: Simplify right side
    3,968.42x = 17,313,315.78
  5. Step 5: Solve for x
    x = 17,313,315.78/3,968.42
  6. Step 6: Final answer
    x = 4,362.78

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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.