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Finding the Fourth Proportional to 5,585.62, 7,707.69 and 3,067.66

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Solution

The fourth proportional to 5,585.62, 7,707.69 and 3,067.66 is: 4,233.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.62 : 7,707.69 = 3,067.66 : x
  2. Step 2: Convert to fraction form
    5,585.62/7,707.69 = 3,067.66/x
  3. Step 3: Cross multiply
    5,585.62x = 7,707.69 × 3,067.66
  4. Step 4: Simplify right side
    5,585.62x = 23,644,572.31
  5. Step 5: Solve for x
    x = 23,644,572.31/5,585.62
  6. Step 6: Final answer
    x = 4,233.12

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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.