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Finding the Fourth Proportional to 5,684.27, 7,844.31 and 3,166.61

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Solution

The fourth proportional to 5,684.27, 7,844.31 and 3,166.61 is: 4,369.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.27 : 7,844.31 = 3,166.61 : x
  2. Step 2: Convert to fraction form
    5,684.27/7,844.31 = 3,166.61/x
  3. Step 3: Cross multiply
    5,684.27x = 7,844.31 × 3,166.61
  4. Step 4: Simplify right side
    5,684.27x = 24,839,831.27
  5. Step 5: Solve for x
    x = 24,839,831.27/5,684.27
  6. Step 6: Final answer
    x = 4,369.93

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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.