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Finding the Fourth Proportional to 5,585.57, 7,708.17 and 3,067.77

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Solution

The fourth proportional to 5,585.57, 7,708.17 and 3,067.77 is: 4,233.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.57 : 7,708.17 = 3,067.77 : x
  2. Step 2: Convert to fraction form
    5,585.57/7,708.17 = 3,067.77/x
  3. Step 3: Cross multiply
    5,585.57x = 7,708.17 × 3,067.77
  4. Step 4: Simplify right side
    5,585.57x = 23,646,892.68
  5. Step 5: Solve for x
    x = 23,646,892.68/5,585.57
  6. Step 6: Final answer
    x = 4,233.57

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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.