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Finding the Fourth Proportional to 3,930.40, 5,894.32 and 1,739.08

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Solution

The fourth proportional to 3,930.40, 5,894.32 and 1,739.08 is: 2,608.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.40 : 5,894.32 = 1,739.08 : x
  2. Step 2: Convert to fraction form
    3,930.40/5,894.32 = 1,739.08/x
  3. Step 3: Cross multiply
    3,930.40x = 5,894.32 × 1,739.08
  4. Step 4: Simplify right side
    3,930.40x = 10,250,694.03
  5. Step 5: Solve for x
    x = 10,250,694.03/3,930.40
  6. Step 6: Final answer
    x = 2,608.05

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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.