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Finding the Fourth Proportional to 5,585.68, 7,708.12 and 3,067.82

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Solution

The fourth proportional to 5,585.68, 7,708.12 and 3,067.82 is: 4,233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.68 : 7,708.12 = 3,067.82 : x
  2. Step 2: Convert to fraction form
    5,585.68/7,708.12 = 3,067.82/x
  3. Step 3: Cross multiply
    5,585.68x = 7,708.12 × 3,067.82
  4. Step 4: Simplify right side
    5,585.68x = 23,647,124.70
  5. Step 5: Solve for x
    x = 23,647,124.70/5,585.68
  6. Step 6: Final answer
    x = 4,233.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.