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Finding the Fourth Proportional to 5,684.23, 7,843.20 and 3,166.28

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Solution

The fourth proportional to 5,684.23, 7,843.20 and 3,166.28 is: 4,368.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.23 : 7,843.20 = 3,166.28 : x
  2. Step 2: Convert to fraction form
    5,684.23/7,843.20 = 3,166.28/x
  3. Step 3: Cross multiply
    5,684.23x = 7,843.20 × 3,166.28
  4. Step 4: Simplify right side
    5,684.23x = 24,833,734.59
  5. Step 5: Solve for x
    x = 24,833,734.59/5,684.23
  6. Step 6: Final answer
    x = 4,368.88

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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.