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Finding the Fourth Proportional to 5,684.36, 7,844.40 and 3,166.44

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Solution

The fourth proportional to 5,684.36, 7,844.40 and 3,166.44 is: 4,369.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.36 : 7,844.40 = 3,166.44 : x
  2. Step 2: Convert to fraction form
    5,684.36/7,844.40 = 3,166.44/x
  3. Step 3: Cross multiply
    5,684.36x = 7,844.40 × 3,166.44
  4. Step 4: Simplify right side
    5,684.36x = 24,838,821.94
  5. Step 5: Solve for x
    x = 24,838,821.94/5,684.36
  6. Step 6: Final answer
    x = 4,369.68

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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.