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Finding the Fourth Proportional to 3,156.39, 4,734.62 and 2,067.68

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Solution

The fourth proportional to 3,156.39, 4,734.62 and 2,067.68 is: 3,101.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.39 : 4,734.62 = 2,067.68 : x
  2. Step 2: Convert to fraction form
    3,156.39/4,734.62 = 2,067.68/x
  3. Step 3: Cross multiply
    3,156.39x = 4,734.62 × 2,067.68
  4. Step 4: Simplify right side
    3,156.39x = 9,789,645.07
  5. Step 5: Solve for x
    x = 9,789,645.07/3,156.39
  6. Step 6: Final answer
    x = 3,101.53

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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.