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Finding the Fourth Proportional to 5,684.20, 7,844.77 and 3,166.32

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Solution

The fourth proportional to 5,684.20, 7,844.77 and 3,166.32 is: 4,369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.20 : 7,844.77 = 3,166.32 : x
  2. Step 2: Convert to fraction form
    5,684.20/7,844.77 = 3,166.32/x
  3. Step 3: Cross multiply
    5,684.20x = 7,844.77 × 3,166.32
  4. Step 4: Simplify right side
    5,684.20x = 24,839,052.15
  5. Step 5: Solve for x
    x = 24,839,052.15/5,684.20
  6. Step 6: Final answer
    x = 4,369.84

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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.