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Finding the Fourth Proportional to 5,585.92, 7,708.36 and 3,067.95

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Solution

The fourth proportional to 5,585.92, 7,708.36 and 3,067.95 is: 4,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.92 : 7,708.36 = 3,067.95 : x
  2. Step 2: Convert to fraction form
    5,585.92/7,708.36 = 3,067.95/x
  3. Step 3: Cross multiply
    5,585.92x = 7,708.36 × 3,067.95
  4. Step 4: Simplify right side
    5,585.92x = 23,648,863.06
  5. Step 5: Solve for x
    x = 23,648,863.06/5,585.92
  6. Step 6: Final answer
    x = 4,233.66

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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.