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Finding the Fourth Proportional to 5,682.87, 7,842.24 and 3,164.90

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Solution

The fourth proportional to 5,682.87, 7,842.24 and 3,164.90 is: 4,367.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.87 : 7,842.24 = 3,164.90 : x
  2. Step 2: Convert to fraction form
    5,682.87/7,842.24 = 3,164.90/x
  3. Step 3: Cross multiply
    5,682.87x = 7,842.24 × 3,164.90
  4. Step 4: Simplify right side
    5,682.87x = 24,819,866.16
  5. Step 5: Solve for x
    x = 24,819,866.16/5,682.87
  6. Step 6: Final answer
    x = 4,367.49

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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.