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Finding the Fourth Proportional to 5,682.40, 7,841.70 and 3,164.73

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Solution

The fourth proportional to 5,682.40, 7,841.70 and 3,164.73 is: 4,367.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.40 : 7,841.70 = 3,164.73 : x
  2. Step 2: Convert to fraction form
    5,682.40/7,841.70 = 3,164.73/x
  3. Step 3: Cross multiply
    5,682.40x = 7,841.70 × 3,164.73
  4. Step 4: Simplify right side
    5,682.40x = 24,816,833.83
  5. Step 5: Solve for x
    x = 24,816,833.83/5,682.40
  6. Step 6: Final answer
    x = 4,367.32

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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.